scientific article
From MaRDI portal
Publication:2894026
zbMath1246.34064MaRDI QIDQ2894026
Ahmed S. Hendy, Mohamed M. Khader
Publication date: 27 June 2012
Full work available at URL: http://www.ijpam.eu/contents/2012-74-3/1/index.html
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Theoretical approximation of solutions to functional-differential equations (34K07) Functional-differential equations with fractional derivatives (34K37)
Related Items
Numerical solutions based on a collocation method combined with Euler polynomials for linear fractional differential equations with delay, Solution of some types for composition fractional order differential equations corresponding to optimal control problems, New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations, Higher-order accurate and conservative hybrid numerical scheme for relativistic time-fractional Vlasov-Maxwell system, Fractional variational iteration method versus Adomian's decomposition method in some fractional partial differential equations, Shifted Legendre collocation method for the flow and heat transfer due to a stretching sheet embedded in a porous medium with variable thickness, variable thermal conductivity and thermal radiation, Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations, Numerical treatment for solving the perturbed fractional PDEs using hybrid techniques, Extended Chebyshev cardinal wavelets for nonlinear fractional delay optimal control problems, Jacobi operational matrix and its application for solving systems of ODEs, Exponentially accurate spectral and spectral element methods for fractional ODEs, Mild solution and fractional optimal control of semilinear system with fixed delay, A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel, Numerical treatment for solving fractional Riccati differential equation, An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function, A fast time-stepping method based on the \(hp\)-version spectral collocation method for the nonlinear fractional delay differential equation, A semi‐relativistic time‐fractional <scp>Vlasov–Maxwell</scp> code for numerical simulation based on circular polarization and Landau damping instability, A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis, Second-order convergent scheme for time-fractional partial differential equations with a delay in time, A novel scheme for time‐fractional semi‐relativistic <scp>Vlasov–Maxwell</scp> system based on <scp>laser‐plasma</scp> interaction with linear polarization and Landau damping instability, Jacobi spectral Galerkin methods for fractional integro-differential equations, Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions, Ritz-generalized Pell wavelet method: application for two classes of fractional pantograph problems, A numerical method to solve fractional pantograph differential equations with residual error analysis, Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations, On approximate solutions for fractional logistic differential equation, Cardinal functions for Legendre pseudo-spectral method for solving the integro-differential equations, Numerical and analytical study for fourth-order integro-differential equations using a pseudospectral method, A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument, A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations, Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations, Higher dimensional semi-relativistic time-fractional Vlasov-Maxwell code for numerical simulation based on linear polarization and 2D Landau damping instability, A computational algorithm for the numerical solution of fractional order delay differential equations, Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations, Numerical solution of systems of fractional delay differential equations using a new kind of wavelet basis, Spectral-collocation methods for fractional pantograph delay-integrodifferential equations, Numerical studies for fractional-order logistic differential equation with two different delays, Efficient modified Chebyshev differentiation matrices for fractional differential equations, Finite difference and spectral collocation methods for the solution of semilinear time fractional convection-reaction-diffusion equations with time delay, An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets, Novel operational matrices-based method for solving fractional-order delay differential equations via shifted Gegenbauer polynomials, Numerical treatment for solving fractional SIRC model and influenza A, Approximate solutions for the fractional advection-dispersion equation using Legendre pseudo-spectral method, Legendre wavelet method for fractional delay differential equations, Fractional sensitivity equation method: application to fractional model construction, Unnamed Item, Numerical solutions of fractional delay differential equations using Chebyshev wavelet method, Spectral Tau method for solving general fractional order differential equations with linear functional argument, Unnamed Item, Optimal Collocation Nodes for Fractional Derivative Operators, Numerical studies for the variable-order nonlinear fractional wave equation, Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations, Fractional pseudo-spectral methods for distributed-order fractional PDEs