Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional Delay. - Vladimir G. Pimenov; Ahmed S. Hendy (NAA, 2016)

A numerical solution for a class of time fractional diffusion equations with delay. - Vladimir G. Pimenov; Ahmed S. Hendy (Int. J. Appl. Math. Comput. Sci., 2017)

Numerically pricing double barrier options in a time-fractional Black-Scholes model. - Rob H. De Staelen; Ahmed S. Hendy (Comput. Math. Appl., 2017)

On a class of non-linear delay distributed order fractional diffusion equations. - Vladimir G. Pimenov; Ahmed S. Hendy; Rob H. De Staelen (J. Comput. Appl. Math., 2017)

A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations. - Jorge Eduardo Macías-Díaz; Ahmed S. Hendy; Rob H. De Staelen (Appl. Math. Comput., 2018)

A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives. - Jorge Eduardo Macías-Díaz; Ahmed S. Hendy; Rob H. De Staelen (Comput. Phys. Commun., 2018)

A semi-linear delayed diffusion-wave system with distributed order in time. - Ahmed S. Hendy; Rob H. De Staelen; Vladimir G. Pimenov (Numer. Algorithms, 2018)

A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space-Fractional Gross-Pitaevskii Equation. - Ahmed S. Hendy; Jorge Eduardo Macías-Díaz (Int. J. Appl. Math. Comput. Sci., 2019)

A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system. - Ahmed S. Hendy; Jorge Eduardo Macías-Díaz (Commun. Nonlinear Sci. Numer. Simul., 2019)

A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations. - Ahmed S. Hendy; Jorge Eduardo Macías-Díaz (Commun. Nonlinear Sci. Numer. Simul., 2019)

On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy. - Ahmed S. Hendy; Jorge Eduardo Macías-Díaz; Adán J. Serna-Reyes (J. Comput. Appl. Math., 2019)

Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: Theoretical analysis and pattern formation. - Jorge Eduardo Macías-Díaz; Ahmed S. Hendy (J. Comput. Phys., 2019)

Corrigendum to "A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system". - Romeo Martínez; Jorge Eduardo Macías-Díaz; Ahmed S. Hendy (Commun. Nonlinear Sci. Numer. Simul., 2020)

Semi-implicit Galerkin-Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion-Reaction Equations with Smooth and Nonsmooth Solutions. - Mahmoud A. Zaky; Ahmed S. Hendy; Jorge Eduardo Macías-Díaz (J. Sci. Comput., 2020)

Computational aspects of fractional Romanovski-Bessel functions. - Howayda Abo-Gabal; Mahmoud A. Zaky; Ahmed S. Hendy; Eid H. Doha (Comput. Appl. Math., 2021)

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong? - Mahmoud A. Zaky; Ahmed S. Hendy; Anatoly A. Alikhanov; Vladimir G. Pimenov (Commun. Nonlinear Sci. Numer. Simul., 2021)

Numerical treatment for after-effected multi-term time-space fractional advection-diffusion equations. - Ahmed S. Hendy (Eng. Comput., 2021)

A bounded numerical solver for a fractional FitzHugh-Nagumo equation and its high-performance implementation. - Jorge Eduardo Macías-Díaz; Ahmed S. Hendy; Nikita S. Markov (Eng. Comput., 2021)

Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations. - Mahmoud A. Zaky; Ahmed S. Hendy (Int. J. Comput. Math., 2021)

A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions. - Ramy M. Hafez; Mahmoud A. Zaky; Ahmed S. Hendy (Math. Comput. Simul., 2021)

Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. - Ahmed S. Hendy; Mahmoud A. Zaky; Mostafa Abbaszadeh (Math. Comput. Simul., 2021)

On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. - Karel Van Bockstal; Mahmoud A. Zaky; Ahmed S. Hendy (Commun. Nonlinear Sci. Numer. Simul., 2022)

A priori estimates to solutions of the time-fractional convection-diffusion-reaction equation coupled with the Darcy system. - Ahmed S. Hendy; Mahmoud A. Zaky (Commun. Nonlinear Sci. Numer. Simul., 2022)

A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. - Hao Chen; Mahmoud A. Zaky; Ahmed S. Hendy; Wenlin Qiu (CoRR, 2022)

Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations. - Ahmed S. Hendy; Mahmoud A. Zaky (Eng. Comput., 2022)

On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: Theoretical and numerical investigations. - Ahmed S. Hendy; Mahmoud A. Zaky; Jorge Eduardo Macías-Díaz (J. Comput. Appl. Math., 2022)

On a Reconstruction of a Solely Time-Dependent Source in a Time-Fractional Diffusion Equation with Non-smooth Solutions. - Ahmed S. Hendy; Karel Van Bockstal (J. Sci. Comput., 2022)

Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations. - Ahmed S. Hendy; Mahmoud A. Zaky; Durvudkhan Suragan (Math. Comput. Simul., 2022)

An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function. - Abdelrahim K. Omran; Mahmoud A. Zaky; Ahmed S. Hendy; Vladimir G. Pimenov (Math. Comput. Simul., 2022)

A note on a class of Caputo fractional differential equations with respect to another function. - Mahmoud A. Zaky; Ahmed S. Hendy; Durvudkhan Suragan (Math. Comput. Simul., 2022)

A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions. - Ahmed S. Hendy; Karel Van Bockstal (Numer. Algorithms, 2022)

On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations. - Karel Van Bockstal; Mahmoud A. Zaky; Ahmed S. Hendy (CoRR, 2023)

Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel. - Yang Cao; Mahmoud A. Zaky; Ahmed S. Hendy; Wenlin Qiu (J. Comput. Appl. Math., 2023)

An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay. - Mahmoud A. Zaky; Karel Van Bockstal; T. R. Taha; Durvudkhan Suragan; Ahmed S. Hendy (J. Comput. Appl. Math., 2023)

A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions. - N. A. Elkot; Eid H. Doha; Ibrahem G. Ameen; Ahmed S. Hendy; Mahmoud A. Zaky (Commun. Nonlinear Sci. Numer. Simul., 2023)

Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian. - Mojtaba Fardi; Mahmoud A. Zaky; Ahmed S. Hendy (Math. Comput. Simul., 2023)

Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation. - Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy (Comput. Math. Appl., 2024)

A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting. - Julius Fergy T. Rabago; Aissam Hadri; Lekbir Afraites; Ahmed S. Hendy; Mahmoud A. Zaky (Comput. Math. Appl., 2024)

An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs. - Zakieh Avazzadeh; Hossein Hassani 005; Mohammad Javad Ebadi; Ali Bayati Eshkaftaki; Ahmed S. Hendy (Int. J. Comput. Math., 2024)

A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions. - R. Wang; L. Qiao; Mahmoud A. Zaky; Ahmed S. Hendy (Numer. Algorithms, 2024)

BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions. - Ruru Wang; Yubin Yan; Ahmed S. Hendy; Leijie Qiao (Comput. Math. Appl., 2024)

Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains. - Mostafa Abbaszadeh; Mahmoud A. Zaky; Ahmed S. Hendy; Mehdi Dehghan 002 (Math. Comput. Simul., 2024)

Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers' Equations. - Xiangyi Peng; Wenlin Qiu; Ahmed S. Hendy; Mahmoud A. Zaky (J. Sci. Comput., 2024)

An easy-to-implement recursive fractional spectral-Galerkin method for multi-term weakly singular Volterra integral equations with non-smooth solutions. - Younes Talaei; Mahmoud A. Zaky; Ahmed S. Hendy (Numer. Algorithms, 2024)

Nonsmooth optimization method for determining nonsmooth potential parameter in nonlinear subdiffusion equation. - Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy; Xiangcheng Zheng; Hong Wang (Commun. Nonlinear Sci. Numer. Simul., 2025)

Learning primal-dual approach for space-dependent diffusion coefficient identification in fractional diffusion equations. - Mohammed Srati; Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy (J. Comput. Phys., 2025)

On a computational paradigm for a class of fractional order direct and inverse problems in terms of physics-informed neural networks with the attention mechanism. - Mohammed Srati; Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy (J. Comput. Sci., 2025)

Implementation of an Optimization Algorithm for a New General Class of Two-Dimensional Fractional PDEs. - Zakieh Avazzadeh; Hossein Hassani 005; Mohammad Javad Ebadi; Ali Bayati Eshkaftaki; Ahmed S. Hendy (J. Optim. Theory Appl., 2025)

Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. - Hao Chen; Mahmoud A. Zaky; Xiangcheng Zheng; Ahmed S. Hendy; Wenlin Qiu (Numer. Algorithms, 2025)

Spectral coefficient learning physics informed neural network for time-dependent fractional parametric differential problems. - Sivalingam S. M; V. Govindaraj; Ahmed S. Hendy (CoRR, 2025)

L1-predictor-corrector method for ψ-Caputo type fractional differential equations. - Sivalingam S. M; V. Govindaraj; José Vanterler da Costa Sousa; Ahmed S. Hendy (Comput. Appl. Math., 2025)