DOI10.1016/j.camwa.2011.03.054zbMath1228.65121OpenAlexW2047140957MaRDI QIDQ651573
Shyam L. Kalla, Rudolf Scherer, Jianfei Huang, Yi-Fa Tang
Publication date: 18 December 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.054
Discretization of conformable fractional differential equations by a piecewise constant approximation,
Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission,
Symbol-based preconditioning for Riesz distributed-order space-fractional diffusion equations,
Hybrid stochastic fractional-based approach to modeling bacterial quorum sensing,
On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach,
Dynamics and numerical approximations for a fractional-order SIS epidemic model with saturating contact rate,
Novel chaotic systems with fractional differential operators: numerical approaches,
Optimal control problem of variable-order delay system of advertising procedure: numerical treatment,
Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode technique,
Effects of HIV infection on CD4\(^{+}\) T-cell population based on a fractional-order model,
Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching,
Continuous Approximations of a Class of Piecewise Continuous Systems,
A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel,
A latency fractional order model for HIV dynamics,
A new approach for the nonlinear fractional optimal control problems with external persistent disturbances,
Dynamic Analysis and Fractional-Order Terminal Sliding Mode Control of a Fractional-Order Buck Converter Operating in Discontinuous Conduction Mode,
Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems,
Grünwald-Letnikov fractional operators: from past to present,
A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems,
A fractional order epidemic model for the simulation of outbreaks of ebola,
A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1),
Implementation of fractional-order difference via Takenaka-Malmquist functions,
Structure preserving computational technique for fractional order Schnakenberg model,
Stability analysis of a fractional virotherapy model for cancer treatment,
Triple pendulum model involving fractional derivatives with different kernels,
Positivity and boundedness preserving nonstandard finite difference schemes for solving Volterra's population growth model,
Comparative studies for the fractional optimal control in transmission dynamics of West Nile virus,
Fractional-based stochastic gradient algorithms for time-delayed ARX models,
A new fractional-order hyperchaotic memristor oscillator: dynamic analysis, robust adaptive synchronization, and its application to voice encryption,
Fractional sliding mode based on RBF neural network observer: application to HIV infection mathematical model,
Grünwald-Letnikov scheme for a multi-term time fractional reaction-subdiffusion equation,
Pade method for construction of numerical algorithms for fractional initial value problem,
New studies for general fractional financial models of awareness and trial advertising decisions,
Suppressing chaos in fractional-order systems by periodic perturbations on system variables,
Besicovitch almost periodic solutions for fractional‐order quaternion‐valued neural networks with discrete and distributed delays,
Asymptotical stability for fractional‐order Hopfield neural networks with multiple time delays,
Dynamical analysis of fractional oscillator system with cosine excitation utilizing the average method,
Fractional model for the study of the tuberculosis in Mexico,
A new solution for optimal control of fractional convection-reaction-diffusion equation using rational barycentric interpolation,
Гибридный фрактально-стохастический подход к моделированию кинетики переключения сегнетоэлектриков в режиме инжекции,
A computational approach to exponential-type variable-order fractional differential equations,
Chaos and Adaptive Control of the Fractional-Order Magnetic-Field Electromechanical Transducer,
Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation,
A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty,
Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints,
An explicit numerical scheme for solving fractional order compartment models from the master equations of a stochastic process,
A fractional-order delay differential model with optimal control for cancer treatment based on synergy between anti-angiogenic and immune cell therapies,
FPGA-based implementation of different families of fractional-order chaotic oscillators applying Grünwald-Letnikov method,
Memory in a fractional-order cardiomyocyte model alters voltage- and calcium-mediated instabilities,
HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load,
A generalized fractional difference operator and its applications,
Uniform asymptotic stability of a logistic model with feedback control of fractional order and nonstandard finite difference schemes,
Численное моделирование процесса аномальной диффузии на основе схемы повышенного порядка точности,
Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order,
Discrete spline methods for solving two point fractional Bagley-Torvik equation,
Fast Solution Methods for Convex Quadratic Optimization of Fractional Differential Equations,
A generic model for a single strain mosquito-transmitted disease with memory on the host and the vector,
Polynomial chaos for random fractional order differential equations,
Suppressing chaos in a simplest autonomous memristor-based circuit of fractional order by periodic impulses,
Time-local discretization of fractional and related diffusive operators using Gaussian quadrature with applications,
Optimal control of variable-order fractional model for delay cancer treatments,
Stability analysis of a fractional order modified Leslie-Gower model with additive Allee effect,
Exact and discretized stability of the Bagley-Torvik equation,
Persistence of low levels of plasma viremia and of the latent reservoir in patients under ART: a fractional-order approach,
Discrete and continuous fractional persistence problems -- the positivity property and applications,
A spectral deferred correction method for fractional differential equations,
Suppression of Sommerfeld effect in a non-ideal discrete rotor system with fractional order external damping,
Analytical and numerical solutions of electrical circuits described by fractional derivatives,
Stability analysis and nonstandard Grünwald-Letnikov scheme for a fractional order predator-prey model with ratio-dependent functional response,
Discrete fractional diffusion equation,
Stochastic dynamics of the FitzHugh-Nagumo neuron model through a modified van der Pol equation with fractional-order term and Gaussian white noise excitation,
On a new fractional-order logistic model with feedback control,
An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials,
On comparative analysis for the Black-Scholes model in the generalized fractional derivatives sense via Jafari transform,
An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry,
An efficient method for solving fractional Black-Scholes model with index and exponential decay kernels,
Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems,
On stochastic response of fractional-order generalized birhythmic van der Pol oscillator subjected to delayed feedback displacement and Gaussian white noise excitation,
An SEIR Epidemic Model of Fractional Order to Analyze the Evolution of the Covid-19 Epidemic in Argentina,
Solution of temperature field problems in oil strata using integral transforms,
ANALYSIS OF DENGUE FEVER OUTBREAK BY GENERALIZED FRACTIONAL DERIVATIVE,
Bifurcations in a delayed fractional model of glucose-insulin interaction with incommensurate orders,
Optimal control applied to a fractional-order foot-and-mouth disease model,
Optimal control for cancer treatment mathematical model using Atangana-Baleanu-Caputo fractional derivative,
Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium