DOI10.1115/1.3167616zbMath0544.73052OpenAlexW2151015649MaRDI QIDQ3334221
R. C. Koeller
Publication date: 1984
Published in: Journal of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1115/1.3167616
A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times,
Numerical solutions for systems of fractional order differential equations with Bernoulli wavelets,
Finite difference scheme for the time-fractional Fokker–Planck equation with time- and space-dependent forcing,
MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION,
On the fractional calculus of multivariate Mittag-Leffler functions,
Identification of linear dynamic systems of fractional order with errors in variables based on an augmented system of equations,
Bifurcation Analysis of a Fractional-Order Simplicial SIRS System Induced by Double Delays,
Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations,
On asymptotic properties of some neutral differential equations involving Riemann-Liouville fractional derivative,
Uncertain Response Analysis of Fractionally-Damped Beams Based on Interval Process Model,
Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative,
A quadrature-free Legendre polynomial approach for the fast modelling guided circumferential wave in anisotropic fractional order viscoelastic hollow cylinders,
Modified fractional thermoelasticity model with multi-relaxation times of higher order: application to spherical cavity exposed to a harmonic varying heat,
A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations,
Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations,
An easy-to-implement parallel algorithm to simulate complex instabilities in three-dimensional (fractional) hyperbolic systems,
On the convergence and superconvergence for a class of two‐dimensional time fractional reaction‐subdiffusion equations,
A generalized thermoelastic problem with nonlocal effect and memory-dependent derivative when subjected to a moving heat source,
Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness,
Numerical solution of fractional partial differential equations via Haar wavelet,
New description of the mechanical creep response of rocks by fractional derivative theory,
Assessment of the performance of the hyperbolic-NILT method to solve fractional differential equations,
Ulam-Hyers stability for an impulsive Caputo-Hadamard fractional neutral stochastic differential equations with infinite delay,
Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory,
Time fractional calculus for liquid-path dynamic modelling of an isolator with a rubber element and high-viscosity silicone oil at low frequency,
The direct method of Lyapunov for nonlinear dynamical systems with fractional damping,
Quasi-synchronization for variable-order fractional complex dynamical networks with hybrid delay-dependent impulses,
Stability analysis, chaos control of a fractional order chaotic chemical reactor system and its function projective synchronization with parametric uncertainties,
Constitutive fractional modeling,
Stabilization of a coupled wave equation with one localized nonregular fractional Kelvin–Voigt damping with nonsmooth coefficients,
Existence and stability for a nonlinear hybrid differential equation of fractional order via regular Mittag–Leffler kernel,
A generalised distributed‐order Maxwell model,
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation,
Some existence and uniqueness results for a class of proportional Liouville-Caputo fractional stochastic differential equations,
Ulam type stability for Caputo–Hadamard fractional functional stochastic differential equations with delay,
APPROXIMATE SOLUTION TO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS,
Pell-Lucas discretization method for finding the solution of Caputo-Fabrizio time-fractional diffusion equations,
A new generalized fractional Maxwell model of dielectric relaxation,
A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives,
Unnamed Item,
New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function,
Existence and controllability of higher‐order nonlinear fractional integrodifferential systems via fractional resolvent,
Ulam–Hyers stability of pantograph fractional stochastic differential equations,
Wave process in viscoelastic media using fractional derivatives with nonsingular kernels,
Two regularization methods for identifying the source term of Caputo–Hadamard time‐fractional diffusion equation,
Non‐instantaneous impulsive Riemann–Liouville fractional differential systems: Existence and controllability analysis,
Function projective synchronization of fractional order satellite system and its stability analysis for incommensurate case,
On one application of the Zygmund–Marcinkiewicz theorem,
A Technique for Studying a Class of Fractional-Order Nonlinear Dynamical Systems,
Unnamed Item,
Unnamed Item,
A novel approach for multi-scale texture segmentation based on fractional differential,
Fast Solution Methods for Convex Quadratic Optimization of Fractional Differential Equations,
Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations,
A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel,
Solvability of an elliptic partial differential equation with boundary condition involving fractional derivatives,
A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions,
A Spectral Method for Optimal Control Problems Governed by the Time Fractional Diffusion Equation with Control Constraints,
Iteration method for equation of viscoelastic motion with fractional differential operator of damping,
Viscoelastic Behavior Analysis and Application of the Fractional Derivative Maxwell Model,
Chaos in the fractional-order Lorenz system,
Unnamed Item,
The random walk's guide to anomalous diffusion: A fractional dynamics approach,
Effect of bacterial memory dependent growth by using fractional derivatives reaction-diffusion chemotactic model,
Linear and Nonlinear Fractional Voigt Models,
Application of fractional calculus methods to viscoelastic behaviours of solid propellants,
Unnamed Item,
Legendre wavelets method for solving fractional integro-differential equations,
Linear matrix inequality criteria for robust synchronization of uncertain fractional-order chaotic systems,
USE OF ATANGANA–BALEANU FRACTIONAL DERIVATIVE IN HELICAL FLOW OF A CIRCULAR PIPE,
A compact ADI Crank–Nicolson difference scheme for the two-dimensional time fractional subdiffusion equation,
On Caputo–Hadamard fractional differential equations,
Fractional-order modeling and nonlinear dynamic analyses of the rotor-bearing-seal system,
A numerical method for solving fractional-order viscoelastic Euler-Bernoulli beams,
Existence and approximate controllability of Riemann-Liouville fractional integrodifferential systems with damping,
Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems,
Sinc-Galerkin method for solving the time fractional convection-diffusion equation with variable coefficients,
Strong convergence of a Euler-Maruyama scheme to a variable-order fractional stochastic differential equation driven by a multiplicative white noise,
Optimal control problem of variable-order delay system of advertising procedure: numerical treatment,
A numerical method for fractional integral with applications,
Approximate controllability of fractional evolution inclusions with damping,
On the synchronization and stabilization of fractional-order chaotic systems: recent advances and future perspectives,
Resonance phenomenon for a nonlinear system with fractional derivative subject to multiplicative and additive noise,
A fractional model with parallel fractional Maxwell elements for amorphous thermoplastics,
Synchronization of fractional-order linear complex networks with directed coupling topology,
A damage phase-field model for fractional viscoelastic materials in finite strain,
Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation,
Existence and controllability for nonlinear fractional control systems with damping in Hilbert spaces,
LMIs conditions to robust pinning synchronization of uncertain fractional-order neural networks with discontinuous activations,
Novel results on bifurcation for a fractional-order complex-valued neural network with leakage delay,
Chebyshev-type inequalities involving \((k, \psi)\)-proportional fractional integral operators,
On a wavelet-based numerical method for linear and nonlinear fractional Volterra integro-differential equations with weakly singular kernels,
Stability analysis for a single degree of freedom fractional oscillator,
Theoretical and computational analysis of nonlinear fractional integro-differential equations via collocation method,
A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol,
A dynamically consistent exponential scheme to solve some advection-reaction equations with Riesz anomalous diffusion,
Impact of leakage delay on bifurcation in high-order fractional BAM neural networks,
An avant-garde handling of temporal-spatial fractional physical models,
Generalized synchronization of the fractional-order chaos in weighted complex dynamical networks with nonidentical nodes,
Novel bifurcation results for a delayed fractional-order quaternion-valued neural network,
Numerical treatment of delay Salmonella fractional model with Atangana-Baleanu derivative,
Dynamic response analysis of fractionally-damped generalized Bagley-Torvik equation subject to external loads,
Inverse problems for heat equation and space-time fractional diffusion equation with one measurement,
Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures,
Electrified fractional nanofluid flow with suspended carbon nanotubes,
Optimal leader-following consensus of fractional opinion formation models,
A Mellin transform approach to wavelet analysis,
Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations,
Homogenization estimates for the effective response of fractional viscoelastic particulate composites,
Numerical computations of fractional nonlinear Hartmann flow with revised heat flux model,
On the stochastic response of a fractionally-damped Duffing oscillator,
A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms,
Stability, bifurcation prediction and optimal control of a delayed integer-order small-world network based on the fractional-order PD control policy of variable order,
Finite-time stability criteria for a class of high-order fractional Cohen-Grossberg neural networks with delay,
Can we split fractional derivative while analyzing fractional differential equations?,
A space fractional constitutive equation model for non-Newtonian fluid flow,
Fractional generalization of the Fermi-Pasta-Ulam-Tsingou media and theoretical analysis of an explicit variational scheme,
Adaptive projective synchronization between two different fractional-order chaotic systems with fully unknown parameters,
Lattice Boltzmann method for fractional Cahn-Hilliard equation,
An efficient numerical algorithm for solving the two-dimensional fractional cable equation,
Local fractional variational iteration method for inhomogeneous Helmholtz equation within local fractional derivative operator,
Adaptive pinning synchronization control of the fractional-order chaos nodes in complex networks,
A numerically efficient variational algorithm to solve a fractional nonlinear elastic string equation,
Existence of positive solutions to nonlinear fractional boundary value problem with changing sign nonlinearity and advanced arguments,
Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: theoretical analysis and pattern formation,
A parallelized computational model for multidimensional systems of coupled nonlinear fractional hyperbolic equations,
Approximate expressions of a fractional order Van der Pol oscillator by the residue harmonic balance method,
Joining spacetimes on fractal hypersurfaces,
A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations,
An MHSS-like iteration method for two-by-two linear systems with application to FDE optimization problems,
A fractional derivative-based numerical approach to rate-dependent stress-strain relationship for viscoelastic materials,
Synchronization of fractional-order spatiotemporal complex-valued neural networks in finite-time interval and its application,
A fourth-order extrapolated compact difference method for time-fractional convection-reaction-diffusion equations with spatially variable coefficients,
A robust numerical method for a fractional differential equation,
3-D time-dependent analysis of multilayered cross-anisotropic saturated soils based on the fractional viscoelastic model,
A time-space spectral tau method for the time fractional cable equation and its inverse problem,
Output feedback control and output feedback finite-time control for nonlinear fractional-order interconnected systems,
Euler wavelets method for solving fractional-order linear Volterra-Fredholm integro-differential equations with weakly singular kernels,
Existence and uniqueness of global solution for a Cauchy problem and \(g\)-variational calculus,
An elliptic regularity theorem for fractional partial differential operators,
Adaptive fractional differentiation Harris corner detection algorithm for vision measurement of surface roughness,
Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order,
Nonlinear integro-differential equations with small unknown parameters: a controllability analysis problem,
Controllability of fractional order damped dynamical systems with distributed delays,
Stability analysis for a fractional differential model of HIV infection of CD4\(^{+}\) T-cells with time delay,
A new method for formulating linear viscoelastic models,
Stability analysis of fractional-order bidirectional associative memory neural networks with mixed time-varying delays,
The discontinuous Galerkin finite element approximation of the multi-order fractional initial problems,
Long time behavior for a fractional Picard problem in a Hilbert space,
Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters,
Fractional partial differential equation: fractional total variation and fractional steepest descent approach-based multiscale denoising model for texture image,
Chaos in the fractional order Chen system and its control,
Chaos in the fractional order periodically forced complex Duffing's oscillators,
Some properties of pseudo-fractional operators,
Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation,
Dissipativity and stability analysis of fractional-order complex-valued neural networks with time delay,
A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law,
Fractional non-axisymmetric consolidation of stratified cross-anisotropic visco-poroelastic media,
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain,
An improved finite difference/finite element method for the fractional Rayleigh-Stokes problem with a nonlinear source term,
An approximate wavelets solution to the class of variational problems with fractional order,
Synchronisation of two different uncertain fractional-order chaotic systems with unknown parameters using a modified adaptive sliding-mode controller,
Design and analysis of a dissipative scheme to solve a generalized multi-dimensional Higgs boson equation in the de Sitter space-time,
Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system,
On a Caputo-type fractional derivative respect to another function using a generator by pseudo-operations,
Unsteady oblique stagnation-point flow and heat transfer of fractional Maxwell fluid with convective derivative under modified pressure field,
Finite-time synchronization of fractional-order memristive neural networks via feedback and periodically intermittent control,
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem,
Analysis and control of complex variable hyper-chaotic Robinovich system with fractional derivative,
Damping efficiency of the Duffing system with additional fractional terms,
General nonlocal Kelvin-Voigt viscoelasticity: application to wave propagation in viscoelastic media,
Analysis of viscoelastic flow with a generalized memory and its exponential convergence to steady state,
Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries,
The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder,
Synchronization of fractional order complex dynamical networks,
Synchronization of fractional-order colored dynamical networks via open-plus-closed-loop control,
A space-time spectral method for the time fractional diffusion optimal control problems,
Numerical solution of fractional diffusion-wave equation based on fractional multistep method,
The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval,
Fractional PI pinning synchronization of fractional complex dynamical networks,
Controllability of fractional damped dynamical systems,
Existence result for a superlinear fractional Navier boundary value problems,
Fractional cable equation models for anomalous electrodiffusion in nerve cells: Infinite domain solutions,
A physically based connection between fractional calculus and fractal geometry,
A detailed analysis for the fundamental solution of fractional vibration equation,
Adaptive pinning cluster synchronization of fractional-order complex dynamical networks,
Hybrid projective synchronization of fractional-order memristor-based neural networks with time delays,
Meshless analyses for time-fractional heat diffusion in functionally graded materials,
Dynamic stiffness of chemically and physically ageing rubber vibration isolators in the audible frequency range. I: Constitutive equations,
Combined effects in some initial value problems involving Riemann-Liouville fractional derivatives in bounded domains,
Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems,
Fractional high order methods for the nonlinear fractional ordinary differential equation,
On the numerical handling of fractional viscoelastic material models in a FE analysis,
Exact solution for the rotational flow of a generalized second-grade fluid in a circular cylinder,
Numerical algorithm to solve a class of variable order fractional integral-differential equation based on Chebyshev polynomials,
Simulations of a fractional rate type nanofluid flow with non-integer Caputo time derivatives,
Fractional order Volterra equations with applications to elasticity,
Order-distributions and the Laplace-domain logarithmic operator,
On the stability of linear systems with fractional-order elements,
On generalized fractional vibration equation,
Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations,
Fractional differential models in finite viscoelasticity,
A novel adaptive order/parameter identification method for variable order systems application in viscoelastic soft tissue modeling,
Theory of fractional order in electro-thermoelasticity,
A fractional spectral method with applications to some singular problems,
Fractional order theory in thermoelastic solid with three-phase lag heat transfer,
Existence and boundary behavior of positive solutions for a semilinear fractional differential equation,
The effects of fractional order on a 3-D quadratic autonomous system with four-wing attractor,
Fractional partial differential equation denoising models for texture image,
Inverse projective synchronization between two different hyperchaotic systems with fractional order,
A new chaotic system with fractional order and its projective synchronization,
Mittag-Leffler functions and the truncated \(\mathcal {V}\)-fractional derivative,
New studies for general fractional financial models of awareness and trial advertising decisions,
First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping,
Robust synchronization of fractional-order unified chaotic systems via linear control,
Regular and singular kernel problems in magneto-viscoelasticity,
Effect of structural defects on the strength and damping properties of a solid material,
Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis,
Application of numerical inverse Laplace transform algorithms in fractional calculus,
Complex step derivative approximation of consistent tangent operators for viscoelasticity based on fractional calculus,
Phase and anti-phase synchronization of fractional order chaotic systems via active control,
A compact finite difference method for solving a class of time fractional convection-subdiffusion equations,
On a differential equation involving Hilfer-Hadamard fractional derivative,
Existence of solutions of initial value problems for nonlinear fractional differential equations on the half-axis,
Multi-quasi-synchronization of coupled fractional-order neural networks with delays via pinning impulsive control,
Pinning and adaptive synchronization of fractional-order complex dynamical networks with and without time-varying delay,
Nonnegative solutions of fractional functional differential equations,
Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation,
On solving fractional logistic population models with applications,
Theory of fractional order in generalized thermoelectric MHD,
Axial audio-frequency stiffness of a bush mounting -- the waveguide solution,
On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator,
Control and synchronization of fractional-order financial system based on linear control,
On the Cauchy problem for some fractional order partial differential equations,
A second order finite difference-spectral method for space fractional diffusion equations,
Synchronization of a new fractional-order hyperchaotic system,
Fractional visco-elastic Timoshenko beam from elastic Euler-Bernoulli beam,
Fast tensor product solvers for optimization problems with fractional differential equations as constraints,
SCW method for solving the fractional integro-differential equations with a weakly singular kernel,
Fractional order thermoelastic interactions in an infinite porous material due to distributed time-dependent heat sources,
A compact locally one-dimensional method for fractional diffusion-wave equations,
Stability analysis of fractional-order complex-valued neural networks with time delays,
A magneto-viscoelasticity problem with a singular memory kernel,
The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term,
The thermorheologically complex material,
A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation,
Phenomenological isotropic visco-hyperelasticity: a differential model based on fractional derivatives,
Chaos in the fractional order unified system and its synchronization,
Stability analysis of fractional differential systems with order lying in \((1, 2)\),
Analysis of free vibrations of a viscoelastic oscillator via the models involving several fractional parameters and relaxation/retardation times,
Numerical studies for a multi-order fractional differential equation,
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control,
Synchronization of \(N\)-coupled fractional-order chaotic systems with ring connection,
Application of generalized differential transform method to multi-order fractional differential equations,
Existence results for nonlinear fractional differential equations in \(C[0,T)\),
Circuit implementation of a piezoelectric buckled beam and its response under fractional components considerations,
A new approach on fractional variational problems and Euler-Lagrange equations,
A new fractional-order hyperchaotic system and its modified projective synchronization,
Asymptotical stability of nonlinear fractional differential system with Caputo derivative,
Synchronization in coupled nonidentical incommensurate fractional-order systems,
Fox function representation of non-Debye relaxation processes,
Finite-time stability of uncertain fractional difference equations,
Generalized projective synchronization of the fractional-order Chen hyperchaotic system,
On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme,
Chaos control of a fractional order modified coupled dynamos system,
Micromechanical modelling of intracellular pressure-induced viscoelastic shrinkage of foams: Application to expanded polystyrene,
Polynomial operators, Stieltjes convolution, and fractional calculus in hereditary mechanics,
On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects,
Some probability densities and fundamental solutions of fractional evolution equations,
Fractional relaxation-oscillation and fractional diffusion-wave phenomena.,
Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relation,
Wave propagation in media with singular memory,
Differential equations of fractional order:methods results and problem —I,
Differential geometry of viscoelastic models with fractional-order derivatives,
Short memory principle and a predictor-corrector approach for fractional differential equations,
Well-posedness of a kind of nonlinear coupled system of fractional differential equations,
Solving fuzzy fractional differential equations by a generalized differential transform method,
Finite difference methods with non-uniform meshes for nonlinear fractional differential equations,
New quadrature approach based on operational matrix for solving a class of fractional variational problems,
Statistical analysis for stochastic systems including fractional derivatives,
Two finite difference schemes for time fractional diffusion-wave equation,
The First Passage Failure of SDOF Strongly Nonlinear Stochastic System with Fractional Derivative Damping,
Toward an equation of state for solid materials with memory by use of the half-order derivative,
A fractional partial differential equation based multiscale denoising model for texture image,
Some exact solutions of the oscillatory motion of a generalized second-grade fluid in an annular region of two cylinders,
Haar wavelet method for solving fractional partial differential equations numerically,
On the construction and stability analysis of the solution of linear fractional differential equation,
The effects of depletion layer for electro-osmotic flow of fractional second-grade viscoelastic fluid in a micro-rectangle channel,
Fractional order models for viscoelasticity in lung tissues with power, exponential and Mittag-Leffler memories,
Effects of exponential variable viscosity on heat transfer flow of MHD fractional Maxwell fluid,
On a fractional reaction-diffusion equation,
\textit{A posteriori} error estimates for the fractional optimal control problems,
Fractional Tikhonov regularization method in Hilbert scales,
A link between a variable-order fractional Zener model and non-Newtonian time-varying viscosity for viscoelastic material: relaxation time,
An analytical criterion for jump phenomena in fractional Duffing oscillators,
A non-autonomous damped wave equation with a nonlinear memory term,
Analysis of a system of autonomous fractional differential equations,
Some results on the study of Caputo-Hadamard fractional stochastic differential equations,
A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations,
A fractional rate‐dependent cohesive‐zone model,
Fractional visco-elastic Timoshenko beam deflection via single equation,
Analytical solution of the generalized Bagley-Torvik equation,
Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property,
Existence and partial approximate controllability of nonlinear Riemann-Liouville fractional systems of higher order,
A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem,
A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation,
Bifurcations analysis of a multiple attractors energy harvesting system with fractional derivative damping under random excitation,
A fractional Adams-Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data,
Asymptotical stability and synchronization of Riemann-Liouville fractional delayed neural networks,
A fast Euler-Maruyama method for Riemann-Liouville stochastic fractional nonlinear differential equations,
Impulsive synchronization of fractional Takagi-Sugeno fuzzy complex networks,
Synchronization between a fractional-order system and an integer order system,
Network synchronization in a population of star-coupled fractional nonlinear oscillators,
Controllability of Nonlinear Neutral Fractional Integrodifferential Systems with Infinite Delay,
Numerical study of the variable-order time-fractional mobile/immobile advection-diffusion equation using direct meshless local Petrov-Galerkin methods,
Fractional quantum integral operator with general kernels and applications,
Existence of three positive solutions for boundary value problem with fractional order and infinite delay,
Unnamed Item,
Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control,
A Study on Coexistence of Different Types of Synchronization Between Different Dimensional Fractional Chaotic Systems,
Generalized Synchronization of Different Dimensional Integer-Order and Fractional Order Chaotic Systems,
On New Fractional Inverse Matrix Projective Synchronization Schemes,
Fractional Inverse Generalized Chaos Synchronization Between Different Dimensional Systems,
Stability analysis of Beck's column over a fractional-order hereditary foundation,
Controllability result of nonlinear higher order fractional damped dynamical system,
Numerical algorithm for the time fractional Fokker-Planck equation,
Dynamics of a class of fractional-order nonautonomous Lorenz-type systems,
Chaotic dynamics of the fractionally damped Duffing equation,
CHAOTIC BEHAVIOR IN A FRACTIONAL-ORDER SYSTEM CONTAINING A CONTINUOUS ORDER-DISTRIBUTION,
EXISTENCE AND CONTINUATION THEOREMS OF RIEMANN–LIOUVILLE TYPE FRACTIONAL DIFFERENTIAL EQUATIONS,
Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples,
On chaos synchronization of fractional differential equations,
Averaging oscillations with small fractional damping and delayed terms,
Fractional calculus description of nonlinear viscoelastic behaviour of polymers,
Effect of heat on deformations in material with a defect,
Riemann-Liouville abstract fractional Cauchy problem with damping,
Unsteady Marangoni convection heat transfer of fractional Maxwell fluid with Cattaneo heat flux,
Legendre wavelets method for the numerical solution of fractional integro-differential equations with weakly singular kernel,
Singular kernel problems in materials with memory,
Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates,
Global Mittag-Leffler stability analysis of fractional-order impulsive neural networks with one-side Lipschitz condition,
Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems,
Математическое моделирование наследственно упругого деформируемого тела на основе структурных моделей и аппарата дробного интегро-дифференцирования Римана-Лиувилля,
An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations,
Chaos in the Newton-Leipnik system with fractional order,
An algorithm for the approximate solution of the fractional Riccati differential equation,
Multi-objective optimization of distributed-order fractional damping,
A conservative scheme with optimal error estimates for a multidimensional space-fractional Gross-Pitaevskii equation,
Fractional differential equations solved by using Mellin transform,
An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients,
Spectral collocation method for system of weakly singular Volterra integral equations,
An effective scheme for solving system of fractional Volterra-Fredholm integro-differential equations based on the Müntz-Legendre wavelets,
Dynamic analysis of the fractional-order Liu system and its synchronization,
A unified difference-spectral method for time–space fractional diffusion equations,
Quasilinearization method for finite systems of nonlinear RL fractional differential equations,
Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation,
Power Time Numerical Integration Algorithm for Nonlinear Fractional Differential Equations,
Dynamic Measurements in Long-memory Materials: Fractional Calculus Evaluation of Approach to Steady State,
On fractional thermoelasticity,
Variable-order particle dynamics: formulation and application to the simulation of edge dislocations,
SIMPLE LMI-BASED SYNCHRONIZATION OF FRACTIONAL-ORDER CHAOTIC SYSTEMS,
Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas,
Анализ свойств кривых ползучести с произвольной начальной стадией нагружения, порождаемых линейной теорией наследственности,
Stokes' second problem of viscoelastic fluids with constitutive equation of distributed-order derivative,
A complex elastographic hyperbolic solver (CEHS) to recover frequency dependent complex shear moduli in viscoelastic models utilizing one or more displacement data-sets,
Taylor's formula involving generalized fractional derivatives,
Synchronization in fractional-order differential systems,
Basic results for sequential Caputo fractional differential equations,
Existence and uniqueness results of some fractional boundary value problem,
Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping,
Combining differential evolution and particle swarm optimization to tune and realize fractional-order controllers,
The role of the Mittag-Leffler function in fractional modeling