Approximation methods for solving fractional equations
From MaRDI portal
Publication:2213053
DOI10.1016/j.chaos.2019.05.008zbMath1448.65059OpenAlexW2947876689MaRDI QIDQ2213053
Publication date: 27 November 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2019.05.008
numerical methodfractional differential equationfractional partial differential equationfractional integro-differential equationdelay fractional equationvariable order fractional equations
Integro-ordinary differential equations (45J05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37) Numerical methods for functional-differential equations (65L03)
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Uses Software
Cites Work
- High-order algorithms for Riesz derivative and their applications. III
- Numerical methods for solving a two-dimensional variable-order modified diffusion equation
- A new predictor-corrector method for fractional differential equations
- Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions
- About the existence results of fractional neutral integrodifferential inclusions with state-dependent delay in Fréchet spaces
- An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation
- A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation
- Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
- A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients
- Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation
- Finite element method for two-dimensional space-fractional advection-dispersion equations
- Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
- A high order numerical scheme for variable order fractional ordinary differential equation
- Existence result of solutions to differential equations of variable-order with nonlinear boundary value conditions
- Asymptotic behavior of linear fractional stochastic differential equations with time-varying delays
- Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- A Jacobi Gauss-Lobatto and Gauss-Radau collocation algorithm for solving fractional Fokker-Planck equations
- An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations
- Finite time stability of fractional delay differential equations
- Numerical algorithm for the variable-order Caputo fractional functional differential equation
- Asymptotical stability of Riemann-Liouville fractional singular systems with multiple time-varying delays
- Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners
- Stable multi-domain spectral penalty methods for fractional partial differential equations
- On the stability and convergence of the time-fractional variable order telegraph equation
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
- Approximate controllability of fractional differential equations with state-dependent delay
- Monotone iterative technique for Riemann-Liouville fractional integro-differential equations with advanced arguments
- Fractional integration and differentiation of variable order: an overview
- Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
- Numerical techniques for the variable-order time fractional diffusion equation
- An implicit RBF meshless approach for time fractional diffusion equations
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- Operational tau approximation for a general class of fractional integro-differential equations
- Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
- Collocation methods for fractional integro-differential equations with weakly singular kernels
- Jacobian-predictor-corrector approach for fractional differential equations
- Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions
- Reconstruction of exponentially rate of convergence to Legendre collocation solution of a class of fractional integro-differential equations
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations
- A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations
- On a class of non-linear delay distributed order fractional diffusion equations
- On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
- Approximate controllability of fractional functional equations with infinite delay
- Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
- High-order finite element methods for time-fractional partial differential equations
- Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays
- About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory
- Synthesis of multifractional Gaussian noises based on variable-order fractional operators
- On Riemann-Liouville and Caputo derivatives
- Solution of a nonlinear time-delay model in biology via semi-analytical approaches
- Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
- Solution of fractional integro-differential equations by using fractional differential transform method
- Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term
- On the selection and meaning of variable order operators for dynamic modeling
- A compact difference scheme for the fractional diffusion-wave equation
- Variable-order fractional derivatives and their numerical approximations
- Random-order fractional differential equation models
- Homotopy perturbation method for nonlinear partial differential equations of fractional order
- The variational iteration method for solving Riesz fractional partial differential equations
- Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term
- Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- Approximate solution of fractional integro-differential equations by Taylor expansion method
- On fractional integro-differential equations with state-dependent delay
- Existence results for fractional neutral integro-differential equations with state-dependent delay
- Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
- The \(L^{2}\)-convergence of the Legendre spectral tau matrix formulation for nonlinear fractional integro differential equations
- Controllability of fractional-order partial neutral functional integrodifferential inclusions with infinite delay
- Homotopy analysis method for higher-order fractional integro-differential equations
- Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations
- A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients
- A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations
- Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
- A finite difference scheme for semilinear space-fractional diffusion equations with time delay
- Existence results for an impulsive fractional integro-differential equation with state-dependent delay
- Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
- A sliding mode control for linear fractional systems with input and state delays
- A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
- A fourth-order approximation of fractional derivatives with its applications
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- A finite difference method for fractional partial differential equation
- On the recursive fractional variable-order derivative: equivalent switching strategy, duality, and analog modeling
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
- A graphic stability criterion for non-commensurate fractional-order time-delay systems
- Solving fractional integral equations by the Haar wavelet method
- Existence of positive solutions of nonlinear fractional delay differential equations
- Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation
- Numerical methods for fourth-order fractional integro-differential equations
- Remarks on fractional derivatives
- Jacobi spectral Galerkin methods for fractional integro-differential equations
- On approximate solutions of some delayed fractional differential equations
- Simplified reproducing kernel method for fractional differential equations with delay
- A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
- Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay
- Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Fractional calculus models of complex dynamics in biological tissues
- A new operational matrix for solving fractional-order differential equations
- On neutral impulsive stochastic integro-differential equations with infinite delays via fractional operators
- Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations
- Existence results for fractional order semilinear integro-differential evolution equations with infinite delay
- Computational algorithms for computing the fractional derivatives of functions
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- Fractional derivatives in complex planes
- On the numerical evaluation of fractional derivatives in multi-degree-of-freedom systems
- Fractional integro-differential equations for electromagnetic waves in dielectric media
- Controllability of fractional-order impulsive neutral functional infinite delay integrodifferential systems in Banach spaces
- The fundamental solutions for the fractional diffusion-wave equation
- Numerical methods for the solution of partial differential equations of fractional order.
- Numerical solution of the space fractional Fokker-Planck equation.
- Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
- Compositions of Hadamard-type fractional integration operators and the semigroup property
- Existence results for mixed Hadamard and Riemann-Liouville fractional integro-differential equations
- A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM)
- On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions
- Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular
- Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients
- A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
- Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
- A new fractional finite volume method for solving the fractional diffusion equation
- Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients
- Controllability for a class of fractional neutral integro-differential equations with unbounded delay
- Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
- An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
- Method of approximate particular solutions for constant- and variable-order fractional diffusion models
- Modified Chebyshev wavelet methods for fractional delay-type equations
- Complete controllability of fractional impulsive multivalued stochastic partial integrodifferential equations with state-dependent delay
- Legendre wavelets optimization method for variable-order fractional Poisson equation
- The solvability and optimal controls for impulsive fractional stochastic integro-differential equations via resolvent operators
- Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
- An integro quadratic spline approach for a class of variable-order fractional initial value problems
- Existence results for fractional integro-differential inclusions with state-dependent delay
- Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks
- Existence results for a coupled system of fractional integro-differential equations with time-dependent delay
- A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
- Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative
- Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation
- Finite difference scheme for multi-term variable-order fractional diffusion equation
- An optimal method for approximating the delay differential equations of noninteger order
- The optimal behavior of solutions to fractional impulsive stochastic integro-differential equations and its control problems
- Exact controllability of fractional order evolution equations in Banach spaces
- On solving fractional logistic population models with applications
- Ulam-Hyers-Mittag-Leffler stability for \(\psi\)-Hilfer fractional-order delay differential equations
- Approximate controllability of a multi-valued fractional impulsive stochastic partial integro-differential equation with infinite delay
- Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order
- Fractional differential equations with a constant delay: stability and asymptotics of solutions
- Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications
- Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
- Generalized Lucas polynomial sequence approach for fractional differential equations
- A modified numerical scheme and convergence analysis for fractional model of Lienard's equation
- A new approach for solving a class of delay fractional partial differential equations
- Analytical solution of fractional variable order differential equations
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- An approximate method for solving fractional delay differential equations
- On the approximate solutions for system of fractional integro-differential equations using Chebyshev pseudo-spectral method
- Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method
- On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses
- Waiting-times and returns in high-frequency financial data: An empirical study
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Variable order and distributed order fractional operators
- Statistical physics of dynamical systems with variable memory
- Finite difference approximations for fractional advection-dispersion flow equations
- Hopf bifurcation for a class of fractional differential equations with delay
- Solution existence for non-autonomous variable-order fractional differential equations
- Numerical solution of nonlinear fractional-order Volterra integro-differential equations by SCW
- On a numerical scheme for solving differential equations of fractional order
- Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations
- Numerical solution of systems of fractional delay differential equations using a new kind of wavelet basis
- An operational matrix method for solving variable-order fractional biharmonic equation
- A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
- Spectral collocation method for linear fractional integro-differential equations
- Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws
- Fractional derivatives with no-index law property: application to chaos and statistics
- A compact finite difference scheme for variable order subdiffusion equation
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- Solving PDEs of fractional order using the unified transform method
- A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation
- A computational method for solving variable-order fractional nonlinear diffusion-wave equation
- Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis
- On new existence results for fractional integro-differential equations with impulsive and integral conditions
- Extended algorithms for approximating variable order fractional derivatives with applications
- A new derivative with normal distribution kernel: theory, methods and applications
- Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order
- A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel
- Fractional conformable derivatives of Liouville-Caputo type with low-fractionality
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations
- Stability regions for fractional differential systems with a time delay
- Caputo derivatives of fractional variable order: numerical approximations
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives
- Collocation methods for fractional differential equations involving non-singular kernel
- A critical analysis of the Caputo-Fabrizio operator
- On an accurate discretization of a variable-order fractional reaction-diffusion equation
- Variable order fractional systems
- Boundary particle method for Laplace transformed time fractional diffusion equations
- Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions
- Application of the collocation method for solving nonlinear fractional integro-differential equations
- A new definition of fractional derivative
- Stability and convergence of a finite volume method for the space fractional advection-dispersion equation
- Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
- Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method
- Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method
- Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method
- Chaos in the fractional order nonlinear Bloch equation with delay
- Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition
- On the oscillation of fractional-order delay differential equations with constant coefficients
- FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler law
- A meshless method for solving the time fractional advection-diffusion equation with variable coefficients
- An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation
- A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation
- Operational method for solving multi-term fractional differential equations with the generalized fractional derivatives
- On Hadamard fractional integro-differential boundary value problems
- Existence of mild solutions for impulsive fractional integro-differential inclusions with state-dependent delay
- An improved PC scheme for nonlinear fractional differential equations: error and stability analysis
- A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
- A numerical method for delayed fractional-order differential equations
- Approximate controllability of fractional integrodifferential evolution equations
- Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation
- A wavelet operational method for solving fractional partial differential equations numerically
- Haar wavelet method for solving fractional partial differential equations numerically
- A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels
- Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay
- An efficient cubic spline approximation for variable-order fractional differential equations with time delay
- A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem
- Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications
- An efficient method for solving systems of fractional integro-differential equations
- Existence and uniqueness results for boundary value problems of higher order fractional integro-differential equations involving Gronwall's inequality in Banach spaces
- Numerical solution of fractional integro-differential equations by a hybrid collocation method
- A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients
- Numerical solution of fractional telegraph equation by using radial basis functions
- Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions
- Analysis and numerical methods for fractional differential equations with delay
- Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution
- A generalized differential transform method for linear partial differential equations of fractional order
- Existence results for fractional order functional differential equations with infinite delay
- On the stable numerical evaluation of Caputo fractional derivatives
- Numerical solution of fractional integro-differential equations by collocation method
- Approximations of fractional integrals and Caputo fractional derivatives
- A characteristic difference method for the variable-order fractional advection-diffusion equation
- Existence and uniqueness results for Cauchy problem of variable-order fractional differential equations
- A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
- A convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations
- An iterative method for the design of variable fractional-order FIR differintegrators
- Algorithms for the fractional calculus: a selection of numerical methods
- Control of damping oscillations by fractional differential operator with time-dependent order
- Finite difference approximations for two-sided space-fractional partial differential equations
- Finite element method for space-time fractional diffusion equation
- Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients
- Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays
- On a fractional impulsive partial stochastic integro-differential equation with state-dependent delay and optimal controls
- A Legendre collocation method for fractional integro-differential equations
- On convergence of homotopy analysis method and its application to fractional integro-differential equations
- Spectral Petrov-Galerkin Methods for the Second Kind Volterra Type Integro-Differential Equations
- Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
- AN ADVANCED MESHLESS METHOD FOR TIME FRACTIONAL DIFFUSION EQUATION
- Numerical solutions of the initial value problem for fractional differential equations by modification of the Adomian decomposition method
- Finite Difference Method for Two-Sided Space-Fractional Partial Differential Equations
- Numerical Solution for a Class of Linear System ofFractional Differential Equations by the HaarWaveletMethod and the Convergence Analysis
- Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Computational methods for delay parabolic and time-fractional partial differential equations
- On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces
- Existence result for fractional neutral stochastic integro-differential equations with infinite delay
- Variable Order Modeling of Diffusive-convective Effects on the Oscillatory Flow Past a Sphere
- A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel
- High-order algorithm for the two-dimension Riesz space-fractional diffusion equation
- Measurable functions approach for approximate solutions of Linear space-time-fractional diffusion problems
- Constitutive Dynamic-Order Model for Nonlinear Contact Phenomena
- Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
- Numerical approximations of fractional derivatives with applications
- Fractional Partial Differential Equations and Their Numerical Solutions
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
- Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
- AN INTEGRAL EQUATION OF CELL POPULATION DYNAMICS FORMULATED AS AN ABSTRACT DELAY EQUATION — SOME CONSEQUENCES
- Mechanics with variable-order differential operators
- A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
- A generalisation of the Malgrange–Ehrenpreis theorem to find fundamental solutions to fractional PDEs
- An Optimization Wavelet Method for Multi Variable-order Fractional Differential Equations
- SM-Algorithms for Approximating the Variable-Order Fractional Derivative of High Order
- New numerical approach for fractional differential equations
- Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel
- A local radial basis function collocation method to solve the variable‐order time fractional diffusion equation in a two‐dimensional irregular domain
- Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
- Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods
- Non standard finite difference method for solving variable order fractional optimal control problems
- The variable viscoelasticity oscillator
- Delayed Coupling Between Two Neural Network Loops
- Integration and differentiation to a variable fractional order
- On fractional integro-differential inclusions with state-dependent delay in Banach spaces
- FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- GENERALIZED FRACTIONAL ORDER BLOCH EQUATION WITH EXTENDED DELAY
- FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
- ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
- Fast algorithms for high-order numerical methods for space-fractional diffusion equations
- Fractional integration operators of variable order: continuity and compactness properties
- A new method based on legendre polynomials for solution of system of fractional order partial differential equations
- Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- A class of second order difference approximations for solving space fractional diffusion equations
- A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation
- Legendre wavelets method for solving fractional integro-differential equations
- Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- Numerical schemes for initialized constant and variable fractional-order derivatives: matrix approach and its analog verification
- A variable order constitutive relation for viscoelasticity
- Approximating the Caputo Fractional Derivative through the Mittag-Leffler Reproducing Kernel Hilbert Space and the Kernelized Adams--Bashforth--Moulton Method
- Modified Galerkin algorithm for solving multitype fractional differential equations
- Well‐posedness of fractional integro‐differential equations in vector‐valued functional spaces
- Approximate controllability of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces
- Approximate Controllability of Impulsive Fractional Integro-Differential Systems with Nonlocal Conditions in Hilbert Space
- Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations
- Numerical solution of fractional delay differential equation by shifted Jacobi polynomials
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media
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