| Publication | Date of Publication | Type |
|---|
| A priori estimates to solutions of the time-fractional convection-diffusion-reaction equation coupled with the Darcy system | 2024-04-30 | Paper |
| Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers’ Equations | 2024-04-29 | Paper |
| Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains | 2024-04-16 | Paper |
| Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation | 2024-02-08 | Paper |
| A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions | 2024-01-09 | Paper |
| Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain | 2023-12-20 | Paper |
| On Romanovski–Jacobi polynomials and their related approximation results | 2023-12-14 | Paper |
| High‐order finite difference/spectral‐Galerkin approximations for the nonlinear time–space fractional Ginzburg–Landau equation | 2023-11-23 | Paper |
| Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order | 2023-11-10 | Paper |
| Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy | 2023-11-10 | Paper |
| On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations | 2023-09-21 | Paper |
| Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel | 2023-09-04 | Paper |
| Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation | 2023-08-16 | Paper |
| Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution | 2023-08-15 | Paper |
| Chebyshev spectral methods for multi-order fractional neutral pantograph equations | 2023-08-09 | Paper |
| A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation | 2023-07-03 | Paper |
| On a discrete fractional stochastic Grönwall inequality and its application in the numerical analysis of stochastic FDEs involving a martingale | 2023-06-27 | Paper |
| Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian | 2023-06-23 | Paper |
| Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations | 2023-06-20 | Paper |
| Numerical algorithm for a generalized form of Schnakenberg reaction-diffusion model with gene expression time delay | 2023-06-20 | Paper |
| On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations | 2023-03-07 | Paper |
| A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions | 2023-02-16 | Paper |
| An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential | 2022-12-21 | Paper |
| An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay | 2022-10-21 | Paper |
| Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions | 2022-10-18 | Paper |
| On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay | 2022-09-06 | Paper |
| A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel | 2022-09-01 | Paper |
| Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations | 2022-08-23 | Paper |
| An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function | 2022-06-08 | Paper |
| Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations | 2022-03-23 | Paper |
| A note on a class of Caputo fractional differential equations with respect to another function | 2022-03-11 | Paper |
| Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations | 2022-02-18 | Paper |
| An efficient hybrid numerical scheme for nonlinear multiterm Caputo time and Riesz space fractional-order diffusion equations with delay | 2022-01-05 | Paper |
| Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation | 2022-01-05 | Paper |
| Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations | 2021-12-13 | Paper |
| A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions | 2021-11-22 | Paper |
| Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings | 2021-11-22 | Paper |
| Computational aspects of fractional Romanovski-Bessel functions | 2021-11-11 | Paper |
| On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: theoretical and numerical investigations | 2021-09-17 | Paper |
| NEW RECURSIVE APPROXIMATIONS FOR VARIABLE-ORDER FRACTIONAL OPERATORS WITH APPLICATIONS | 2021-09-13 | Paper |
| A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay | 2021-08-05 | Paper |
| Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative | 2021-04-23 | Paper |
| Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? | 2021-03-10 | Paper |
| An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe | 2021-02-15 | Paper |
| A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis | 2021-02-15 | Paper |
| On the formulation and numerical simulation of distributed-order fractional optimal control problems | 2020-10-14 | Paper |
| Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations | 2020-10-07 | Paper |
| Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations | 2020-06-16 | Paper |
| A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions | 2020-05-19 | Paper |
| An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions | 2020-04-27 | Paper |
| Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions | 2020-01-31 | Paper |
| Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations | 2020-01-27 | Paper |
| Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems | 2019-09-18 | Paper |
| On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems | 2019-09-05 | Paper |
| Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations | 2019-09-04 | Paper |
| Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions | 2019-06-25 | Paper |
| Correction to: ``Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation" | 2019-05-20 | Paper |
| Spectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomials | 2019-05-10 | Paper |
| An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid | 2019-03-25 | Paper |
| Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations | 2019-03-12 | Paper |
| Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation | 2019-01-18 | Paper |
| Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem | 2018-12-03 | Paper |
| A research note on the nonstandard finite difference method for solving variable-order fractional optimal control problems | 2018-11-09 | Paper |
| A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations | 2018-11-05 | Paper |
| A Legendre collocation method for distributed-order fractional optimal control problems | 2018-08-09 | Paper |
| A spectral framework for fractional variational problems based on fractional Jacobi functions | 2018-07-12 | Paper |
| Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations | 2018-04-20 | Paper |
| Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation | 2017-10-27 | Paper |
| Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation | 2017-07-03 | Paper |
| A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations | 2016-12-20 | Paper |
| Numerical algorithm for the variable-order Caputo fractional functional differential equation | 2016-12-02 | Paper |
| An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations | 2016-11-07 | Paper |
| A fractional-order Jacobi Tau method for a class of time-fractional PDEs with variable coefficients | 2016-05-30 | Paper |
| A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation | 2016-02-15 | Paper |
| Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation | 2015-10-19 | Paper |