A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation

Alikhanov Legendre—Galerkin Spectral Method for the Coupled Nonlinear Time-Space Fractional Ginzburg–Landau Complex System

(2021) Mahmoud A. Zaky et al.   Mathematics

Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation

(2021) Ahmed S. Hendy et al.   NONLINEAR DYNAMICS

Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative

(2021) Ibrahem G. Ameen et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Semi-implicit Galerkin–Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion–Reaction Equations with Smooth and Nonsmooth Solutions

(2020) Mahmoud A. Zaky et al.   JOURNAL OF SCIENTIFIC COMPUTING

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?

(2020) Mahmoud A. Zaky et al.   Communications in Nonlinear Science and Numerical Simulation

Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method

(2019) Mostafa Abbaszadeh et al.   APPLIED NUMERICAL MATHEMATICS

Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection–diffusion equation

(2019) Mostafa Abbaszadeh et al.   ENGINEERING WITH COMPUTERS

A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation

(2018) Mehdi Dehghan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On a class of non-linear delay distributed order fractional diffusion equations

(2017) V.G. Pimenov et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Local and global existence of mild solutions for a class of nonlinear fractional reaction–diffusion equations with delay

(2016) Bo Zhu et al.   APPLIED MATHEMATICS LETTERS

Simplified reproducing kernel method for fractional differential equations with delay

(2016) Min-Qiang Xu et al.   APPLIED MATHEMATICS LETTERS

Stability regions for fractional differential systems with a time delay

(2016) Jan Čermák et al.   Communications in Nonlinear Science and Numerical Simulation

Numerical solution of distributed order fractional differential equations by hybrid functions

(2016) S. Mashayekhi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new Legendre operational technique for delay fractional optimal control problems

(2015) A. H. Bhrawy et al.   CALCOLO

Chaos in the fractional order nonlinear Bloch equation with delay

(2015) Dumitru Baleanu et al.   Communications in Nonlinear Science and Numerical Simulation

Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations

(2015) Guang-hua Gao et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical solution of fractional delay differential equation by shifted Jacobi polynomials

(2015) P. Muthukumar et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Some high-order difference schemes for the distributed-order differential equations

(2015) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains

(2015) H. Ye et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Distributed-order diffusion equations and multifractality: Models and solutions

(2015) Trifce Sandev et al.   PHYSICAL REVIEW E

A moving least square reproducing polynomial meshless method

(2013) Rezvan Salehi et al.   APPLIED NUMERICAL MATHEMATICS

Asymptotic behavior of linear fractional stochastic differential equations with time-varying delays

(2013) Dung Nguyen   Communications in Nonlinear Science and Numerical Simulation

A generalized moving least square reproducing kernel method

(2013) Rezvan Salehi et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Matrix approach to discrete fractional calculus III: non-equidistant grids, variable step length and distributed orders

(2013) I. Podlubny et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Analysis and numerical methods for fractional differential equations with delay

(2012) M.L. Morgado et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The reproducing kernel particle method for two-dimensional unsteady heat conduction problems

(2009) Rongjun Cheng et al.   COMPUTATIONAL MECHANICS

Discrete variable methods for delay-differential equations with threshold-type delays

(2008) Z. Jackiewicz et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS