Edit Profile (opens in new tab) Zaky, Mahmoud A. Co-Author Distance Author ID: zaky.mahmoud-a Published as: Zaky, Mahmoud A.; Zaky, M. A.; Zaky, Mahmoud more...less External Links: ORCID · Google Scholar · dblp Documents Indexed: 73 Publications since 2015, including 2 Additional arXiv Preprints Reviewing Activity: 1 Review Co-Authors: 44 Co-Authors with 65 Joint Publications 1,777 Co-Co-Authors all top 5 Co-Authors 8 single-authored 37 Hendy, Ahmed S. 12 Bhrawy, Ali Hassan 12 Doha, Eid H. 6 Ameen, Ibrahem G. 6 Machado, José António Tenreiro 5 Suragan, Durvudkhan 4 Abo-Gabal, Howayda 4 Hafez, Ramy Mahmoud 4 Pimenov, Vladimir Germanovich 4 Qiu, Wenlin 4 van Bockstal, Karel 3 Abbaszadeh, Mostafa 3 Abdelkawy, Mohamed A. 3 Elkot, Nermeen A. 3 Macías-Díaz, Jorge Eduardo 3 Omran, Abdelrahim Khalifa 2 Afraites, Lekbir 2 Aldraiweesh, Ahmed A. 2 Alzaidy, Jameel F. 2 Băleanu, Dumitru I. 2 Dehghan Takht Fooladi, Mehdi 2 Hadri, Aissam 2 Taha, Thiab R. 1 Alikhanov, Anatoliĭ Alievich 1 Cao, Y. 1 De Staelen, Rob H. 1 Ezz-Eldien, Samer S. 1 Fardi, Mojtaba 1 Guo, Tao 1 Hashemizadeh, Elham 1 Jia, Jinhong 1 Lopes, António M. 1 Mostafa, Dina 1 Ould Sidi, Hamed 1 Oulmelk, Abdessamad 1 Qiao, Leijie 1 Rabago, Julius Fergy Tiongson 1 Taha, Taha M. 1 van Gorder, Robert Ashton 1 Wang, Ruru 1 Wang, Yushun 1 Youssri, Youssri H. 1 Zhang, Meihui 1 Zheng, Xiangcheng all top 5 Serials 15 Applied Numerical Mathematics 7 Nonlinear Dynamics 6 Mathematics and Computers in Simulation 5 Journal of Computational and Applied Mathematics 4 Computers & Mathematics with Applications 4 Numerical Algorithms 4 Computational and Applied Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 2 Mathematical Methods in the Applied Sciences 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematical Modelling 2 Journal of Vibration and Control 2 Advances in Difference Equations 2 Journal of Function Spaces 1 Journal of Computational Physics 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Quaestiones Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Scientific Computing 1 International Journal of Computer Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Communications in Theoretical Physics all top 5 Fields 67 Numerical analysis (65-XX) 42 Partial differential equations (35-XX) 15 Real functions (26-XX) 13 Ordinary differential equations (34-XX) 8 Special functions (33-XX) 7 Integral equations (45-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 1,479 times in 747 Documents Cited by ▼ Year ▼ A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations. Zbl 1352.65386 Bhrawy, A. H.; Zaky, M. A. 179 2015 Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Zbl 1345.65060 Bhrawy, A. H.; Zaky, M. A. 138 2015 An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106 Bhrawy, A. H.; Zaky, M. A. 92 2017 Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505 Bhrawy, A. H.; Zaky, M. A. 64 2016 On the formulation and numerical simulation of distributed-order fractional optimal control problems. Zbl 1510.49018 Zaky, M. A.; Tenreiro Machado, J. A. 59 2017 A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Zbl 1334.65166 Bhrawy, A. H.; Zaky, M. A.; Van Gorder, R. A. 55 2016 Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions. Zbl 1433.65247 Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 54 2020 An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid. Zbl 1409.65080 Zaky, Mahmoud A. 53 2018 Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. Zbl 1412.65162 Bhrawy, A. H.; Zaky, M. A. 52 2017 A Legendre collocation method for distributed-order fractional optimal control problems. Zbl 1392.35331 Zaky, Mahmoud A. 46 2018 A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. Zbl 1404.65204 Zaky, Mahmoud A. 41 2018 Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions. Zbl 1415.41001 Zaky, Mahmoud A. 41 2019 Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations. Zbl 1446.34011 Bhrawy, A. H.; Zaky, M. A. 39 2016 Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems. Zbl 1427.34021 Zaky, Mahmoud A. 39 2019 A spectral framework for fractional variational problems based on fractional Jacobi functions. Zbl 06902342 Zaky, M. A.; Doha, E. H.; Tenreiro Machado, J. A. 35 2018 Efficient Legendre spectral tau algorithm for solving the two-sided space-time Caputo fractional advection-dispersion equation. Zbl 1365.35201 Bhrawy, A. H.; Zaky, M. A.; Tenreiro Machado, J. A. 34 2016 Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations. Zbl 1442.65372 Hendy, Ahmed S.; Zaky, Mahmoud A. 34 2020 Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation. Zbl 1471.65157 Bhrawy, Ali H.; Zaky, Mahmoud A.; Machado, José A. Tenreiro 32 2017 An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions. Zbl 1442.65464 Zaky, Mahmoud A. 31 2020 A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients. Zbl 1382.65338 Bhrawy, Ali; Zaky, Mahmoud 30 2016 Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations. Zbl 1448.65180 Bhrawy, A. H.; Zaky, M. A. 26 2017 Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. Zbl 1443.65257 Zaky, Mahmoud A.; Machado, J. Tenreiro 25 2020 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. Zbl 1453.65198 Zaky, Mahmoud A.; Ameen, Ibrahem G. 23 2020 Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative. Zbl 1467.65075 Ameen, Ibrahem G.; Zaky, Mahmoud A.; Doha, Eid H. 18 2021 Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? Zbl 1466.65086 Zaky, Mahmoud A.; Hendy, Ahmed S.; Alikhanov, Anatoly A.; Pimenov, Vladimir G. 17 2021 An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe. Zbl 1458.35411 Zaky, Mahmoud A.; Hendy, Ahmed S. 16 2021 Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation. Zbl 1445.65042 Zaky, M. A.; Baleanu, D.; Alzaidy, J. F.; Hashemizadeh, E. 16 2018 On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems. Zbl 1438.65260 Zaky, Mahmoud A.; Ameen, Ibrahem G. 15 2019 Chebyshev spectral methods for multi-order fractional neutral pantograph equations. Zbl 1516.34016 Ezz-Eldien, S. S.; Wang, Y.; Abdelkawy, M. A.; Zaky, M. A.; Aldraiweesh, A. A.; Machado, J. Tenreiro 14 2020 A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions. Zbl 07431537 Hafez, Ramy M.; Zaky, Mahmoud A.; Hendy, Ahmed S. 13 2021 Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations. Zbl 1438.65244 Abdelkawy, M. A.; Lopes, António M.; Zaky, M. A. 13 2019 Spectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomials. Zbl 1433.65124 Doha, E. H.; Youssri, Y. H.; Zaky, M. A. 12 2019 Convergence analysis of an \(L1\)-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations. Zbl 1480.65275 Zaky, Mahmoud A.; Hendy, Ahmed S. 12 2021 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. Zbl 1486.65105 Hendy, Ahmed S.; Zaky, Mahmoud A.; De Staelen, Rob H. 12 2021 New recursive approximations for variable-order fractional operators with applications. Zbl 1488.42118 Zaky, Mahmoud A.; Doha, Eid H.; Taha, Taha M.; Baleanu, Dumitru 12 2018 Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem. Zbl 1419.34012 Bhrawy, Ali H.; Zaky, Mahmoud A.; Alzaidy, Jameel F. 9 2016 A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis. Zbl 1459.65250 Zaky, Mahmoud A.; Ameen, Ibrahem G.; Elkot, Nermeen A.; Doha, Eid H. 8 2021 Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation. Zbl 1517.35206 Hendy, Ahmed S.; Zaky, Mahmoud A. 7 2021 On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. Zbl 1496.65143 Van Bockstal, Karel; Zaky, Mahmoud A.; Hendy, Ahmed S. 7 2022 A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. Zbl 1508.65100 Chen, Hao; Qiu, Wenlin; Zaky, Mahmoud A.; Hendy, Ahmed S. 6 2023 Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Zbl 07431574 Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa 4 2021 Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations. Zbl 07442875 Hendy, Ahmed S.; Zaky, Mahmoud A.; Suragan, Durvudkhan 4 2022 An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function. Zbl 07538486 Omran, A. K.; Zaky, M. A.; Hendy, A. S.; Pimenov, V. G. 4 2022 An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential. Zbl 1503.65229 Hendy, Ahmed S.; Taha, T. R.; Suragan, D.; Zaky, Mahmoud A. 4 2022 Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations. Zbl 1498.65114 Zaky, Mahmoud A.; Hendy, Ahmed S.; Suragan, D. 4 2022 Computational aspects of fractional Romanovski-Bessel functions. Zbl 1476.33005 Abo-Gabal, Howayda; Zaky, Mahmoud A.; Hendy, Ahmed S.; Doha, Eid H. 3 2021 An efficient hybrid numerical scheme for nonlinear multiterm Caputo time and Riesz space fractional-order diffusion equations with delay. Zbl 07452492 Omran, A. K.; Zaky, M. A.; Hendy, A. S.; Pimenov, V. G. 3 2021 Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation. Zbl 07452496 Abbaszadeh, Mostafa; Dehghan, Mehdi; Zaky, Mahmoud A.; Hendy, Ahmed S. 3 2021 An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay. Zbl 1498.65179 Zaky, M. A.; van Bockstal, K.; Taha, T. R.; Suragan, D.; Hendy, A. S. 3 2023 A note on a class of Caputo fractional differential equations with respect to another function. Zbl 07487730 Zaky, M. A.; Hendy, A. S.; Suragan, D. 3 2022 Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers’ equations. Zbl 07699009 Guo, Tao; Zaky, Mahmoud A.; Hendy, Ahmed S.; Qiu, Wenlin 3 2023 On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra-Fredholm integral equations. Zbl 1521.65144 Elkot, Nermeen A.; Zaky, Mahmoud A.; Doha, Eid H.; Ameen, Ibrahem G. 2 2021 Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations. Zbl 1496.42037 Zaky, Mahmoud A.; Abo-Gabal, Howayda; Hafez, Ramy M.; Doha, Eid H. 2 2022 A research note on the nonstandard finite difference method for solving variable-order fractional optimal control problems. Zbl 1400.26018 Zaky, Mahmoud A. 2 2018 High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. Zbl 07769130 Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 1 2023 On Romanovski-Jacobi polynomials and their related approximation results. Zbl 07777682 Abo-Gabal, Howayda; Zaky, Mahmoud A.; Hafez, Ramy M.; Doha, Eid H. 1 2020 Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain. Zbl 1527.65109 Mostafa, Dina; Zaky, Mahmoud A.; Hafez, Ramy M.; Hendy, Ahmed S.; Abdelkawy, Mohamed A.; Aldraiweesh, Ahmed A. 1 2023 Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian. Zbl 07700840 Fardi, M.; Zaky, M. A.; Hendy, A. S. 1 2023 Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution. Zbl 1521.35194 van Bockstal, K.; Hendy, A. S.; Zaky, M. A. 1 2023 A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions. Zbl 07654058 Elkot, N. A.; Doha, E. H.; Ameen, I. G.; Hendy, A. S.; Zaky, M. A. 1 2023 A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. Zbl 1508.65100 Chen, Hao; Qiu, Wenlin; Zaky, Mahmoud A.; Hendy, Ahmed S. 6 2023 An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay. Zbl 1498.65179 Zaky, M. A.; van Bockstal, K.; Taha, T. R.; Suragan, D.; Hendy, A. S. 3 2023 Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers’ equations. Zbl 07699009 Guo, Tao; Zaky, Mahmoud A.; Hendy, Ahmed S.; Qiu, Wenlin 3 2023 High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. Zbl 07769130 Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 1 2023 Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain. Zbl 1527.65109 Mostafa, Dina; Zaky, Mahmoud A.; Hafez, Ramy M.; Hendy, Ahmed S.; Abdelkawy, Mohamed A.; Aldraiweesh, Ahmed A. 1 2023 Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian. Zbl 07700840 Fardi, M.; Zaky, M. A.; Hendy, A. S. 1 2023 Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution. Zbl 1521.35194 van Bockstal, K.; Hendy, A. S.; Zaky, M. A. 1 2023 A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions. Zbl 07654058 Elkot, N. A.; Doha, E. H.; Ameen, I. G.; Hendy, A. S.; Zaky, M. A. 1 2023 On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. Zbl 1496.65143 Van Bockstal, Karel; Zaky, Mahmoud A.; Hendy, Ahmed S. 7 2022 Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations. Zbl 07442875 Hendy, Ahmed S.; Zaky, Mahmoud A.; Suragan, Durvudkhan 4 2022 An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function. Zbl 07538486 Omran, A. K.; Zaky, M. A.; Hendy, A. S.; Pimenov, V. G. 4 2022 An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential. Zbl 1503.65229 Hendy, Ahmed S.; Taha, T. R.; Suragan, D.; Zaky, Mahmoud A. 4 2022 Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations. Zbl 1498.65114 Zaky, Mahmoud A.; Hendy, Ahmed S.; Suragan, D. 4 2022 A note on a class of Caputo fractional differential equations with respect to another function. Zbl 07487730 Zaky, M. A.; Hendy, A. S.; Suragan, D. 3 2022 Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations. Zbl 1496.42037 Zaky, Mahmoud A.; Abo-Gabal, Howayda; Hafez, Ramy M.; Doha, Eid H. 2 2022 Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative. Zbl 1467.65075 Ameen, Ibrahem G.; Zaky, Mahmoud A.; Doha, Eid H. 18 2021 Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? Zbl 1466.65086 Zaky, Mahmoud A.; Hendy, Ahmed S.; Alikhanov, Anatoly A.; Pimenov, Vladimir G. 17 2021 An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe. Zbl 1458.35411 Zaky, Mahmoud A.; Hendy, Ahmed S. 16 2021 A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions. Zbl 07431537 Hafez, Ramy M.; Zaky, Mahmoud A.; Hendy, Ahmed S. 13 2021 Convergence analysis of an \(L1\)-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations. Zbl 1480.65275 Zaky, Mahmoud A.; Hendy, Ahmed S. 12 2021 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. Zbl 1486.65105 Hendy, Ahmed S.; Zaky, Mahmoud A.; De Staelen, Rob H. 12 2021 A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis. Zbl 1459.65250 Zaky, Mahmoud A.; Ameen, Ibrahem G.; Elkot, Nermeen A.; Doha, Eid H. 8 2021 Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation. Zbl 1517.35206 Hendy, Ahmed S.; Zaky, Mahmoud A. 7 2021 Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Zbl 07431574 Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa 4 2021 Computational aspects of fractional Romanovski-Bessel functions. Zbl 1476.33005 Abo-Gabal, Howayda; Zaky, Mahmoud A.; Hendy, Ahmed S.; Doha, Eid H. 3 2021 An efficient hybrid numerical scheme for nonlinear multiterm Caputo time and Riesz space fractional-order diffusion equations with delay. Zbl 07452492 Omran, A. K.; Zaky, M. A.; Hendy, A. S.; Pimenov, V. G. 3 2021 Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation. Zbl 07452496 Abbaszadeh, Mostafa; Dehghan, Mehdi; Zaky, Mahmoud A.; Hendy, Ahmed S. 3 2021 On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra-Fredholm integral equations. Zbl 1521.65144 Elkot, Nermeen A.; Zaky, Mahmoud A.; Doha, Eid H.; Ameen, Ibrahem G. 2 2021 Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions. Zbl 1433.65247 Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 54 2020 Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations. Zbl 1442.65372 Hendy, Ahmed S.; Zaky, Mahmoud A. 34 2020 An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions. Zbl 1442.65464 Zaky, Mahmoud A. 31 2020 Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. Zbl 1443.65257 Zaky, Mahmoud A.; Machado, J. Tenreiro 25 2020 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. Zbl 1453.65198 Zaky, Mahmoud A.; Ameen, Ibrahem G. 23 2020 Chebyshev spectral methods for multi-order fractional neutral pantograph equations. Zbl 1516.34016 Ezz-Eldien, S. S.; Wang, Y.; Abdelkawy, M. A.; Zaky, M. A.; Aldraiweesh, A. A.; Machado, J. Tenreiro 14 2020 On Romanovski-Jacobi polynomials and their related approximation results. Zbl 07777682 Abo-Gabal, Howayda; Zaky, Mahmoud A.; Hafez, Ramy M.; Doha, Eid H. 1 2020 Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions. Zbl 1415.41001 Zaky, Mahmoud A. 41 2019 Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems. Zbl 1427.34021 Zaky, Mahmoud A. 39 2019 On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems. Zbl 1438.65260 Zaky, Mahmoud A.; Ameen, Ibrahem G. 15 2019 Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations. Zbl 1438.65244 Abdelkawy, M. A.; Lopes, António M.; Zaky, M. A. 13 2019 Spectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomials. Zbl 1433.65124 Doha, E. H.; Youssri, Y. H.; Zaky, M. A. 12 2019 An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid. Zbl 1409.65080 Zaky, Mahmoud A. 53 2018 A Legendre collocation method for distributed-order fractional optimal control problems. Zbl 1392.35331 Zaky, Mahmoud A. 46 2018 A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. Zbl 1404.65204 Zaky, Mahmoud A. 41 2018 A spectral framework for fractional variational problems based on fractional Jacobi functions. Zbl 06902342 Zaky, M. A.; Doha, E. H.; Tenreiro Machado, J. A. 35 2018 Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation. Zbl 1445.65042 Zaky, M. A.; Baleanu, D.; Alzaidy, J. F.; Hashemizadeh, E. 16 2018 New recursive approximations for variable-order fractional operators with applications. Zbl 1488.42118 Zaky, Mahmoud A.; Doha, Eid H.; Taha, Taha M.; Baleanu, Dumitru 12 2018 A research note on the nonstandard finite difference method for solving variable-order fractional optimal control problems. Zbl 1400.26018 Zaky, Mahmoud A. 2 2018 An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. Zbl 1353.65106 Bhrawy, A. H.; Zaky, M. A. 92 2017 On the formulation and numerical simulation of distributed-order fractional optimal control problems. Zbl 1510.49018 Zaky, M. A.; Tenreiro Machado, J. A. 59 2017 Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. Zbl 1412.65162 Bhrawy, A. H.; Zaky, M. A. 52 2017 Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation. Zbl 1471.65157 Bhrawy, Ali H.; Zaky, Mahmoud A.; Machado, José A. Tenreiro 32 2017 Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations. Zbl 1448.65180 Bhrawy, A. H.; Zaky, M. A. 26 2017 Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505 Bhrawy, A. H.; Zaky, M. A. 64 2016 A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Zbl 1334.65166 Bhrawy, A. H.; Zaky, M. A.; Van Gorder, R. A. 55 2016 Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations. Zbl 1446.34011 Bhrawy, A. H.; Zaky, M. A. 39 2016 Efficient Legendre spectral tau algorithm for solving the two-sided space-time Caputo fractional advection-dispersion equation. Zbl 1365.35201 Bhrawy, A. H.; Zaky, M. A.; Tenreiro Machado, J. A. 34 2016 A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients. Zbl 1382.65338 Bhrawy, Ali; Zaky, Mahmoud 30 2016 Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem. Zbl 1419.34012 Bhrawy, Ali H.; Zaky, Mahmoud A.; Alzaidy, Jameel F. 9 2016 A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations. Zbl 1352.65386 Bhrawy, A. H.; Zaky, M. A. 179 2015 Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Zbl 1345.65060 Bhrawy, A. H.; Zaky, M. A. 138 2015 all cited Publications top 5 cited Publications all top 5 Cited by 1,059 Authors 60 Zaky, Mahmoud A. 34 Hendy, Ahmed S. 31 Abdelkawy, Mohamed A. 31 Doha, Eid H. 28 Bhrawy, Ali Hassan 24 Băleanu, Dumitru I. 24 Heydari, Mohammad Hossein 22 Machado, José António Tenreiro 20 Abbaszadeh, Mostafa 19 Dehghan Takht Fooladi, Mehdi 19 Ezz-Eldien, Samer S. 17 Avazzadeh, Zakieh 17 Youssri, Youssri H. 16 Hafez, Ramy Mahmoud 15 Razzaghi, Mohsen 13 Liu, Fawang 11 Abd-Elhameed, Waleed Mohamed 10 Atangana, Abdon 10 Lopes, António M. 9 Hassani, Hossein 9 Qiu, Wenlin 9 Rashidinia, Jalil 8 Amin, Ahmed Z. M. 8 Moghaddam, Behrouz Parsa 8 Turner, Ian William 8 Zheng, Xiangcheng 7 Eftekhari, Tahereh 7 Gómez-Aguilar, José Francisco 7 Huang, Jianfei 7 Jiang, Xiaoyun 7 Li, Hong 7 Liu, Yang 7 Macías-Díaz, Jorge Eduardo 7 Maleknejad, Khosrow 7 Pimenov, Vladimir Germanovich 6 Ameen, Ibrahem G. 6 Feng, Libo 6 Mahmoudi, Yaghoub 6 Mohammadi, Fakhrodin 6 Ordokhani, Yadollah 6 Shivanian, Elyas 6 van Bockstal, Karel 6 Zhao, Yanmin 6 Zhou, Zhaojie 5 Abbasbandy, Saeid 5 Agarwal, Praveen 5 Aminikhah, Hossein 5 Derakhshan, Mohammad Hossein 5 Elkot, Nermeen A. 5 Faghih, Amin 5 Hosseininia, Masoumeh 5 Mokhtary, Payam 5 Naraghirad, Eskandar 5 Nikan, Omid 5 Sweilam, Nasser Hassan 5 Tang, Yifa 5 Wang, Yushun 5 Xu, Da 5 Yang, Yin 5 Zhou, Yong 4 Abo-Gabal, Howayda 4 Aldraiweesh, Ahmed A. 4 Alikhanov, Anatoliĭ Alievich 4 Anh, Vo V. 4 Babolian, Esmail 4 Chen, Wen 4 Jafari, Hossein 4 Li, Dongfang 4 Marasi, H. R. 4 Owolabi, Kolade Matthew 4 Qiao, Leijie 4 Saadatmandi, Abbas 4 Saeedi, Habibollah 4 Shiri, Babak 4 Singh, Vineet Kumar 4 Sun, Hongguang 4 Suragan, Durvudkhan 4 Wang, Hong 4 Zhang, Jingna 4 Zhang, Jiwei 3 Ahmed, Hoda F. 3 Al-Mekhlafi, Seham Mahyoub 3 Alsuyuti, Muhammad M. 3 Alzaidy, Jameel F. 3 Aminataei, Azim 3 Arshad, Sadia 3 Biswas, Anjan 3 Cattani, Carlo 3 Das, Subir 3 Dehestani, Haniye 3 Du, Yanwei 3 Effati, Sohrab 3 Escobar-Jiménez, Ricardo Fabricio 3 Fahad, Hafiz Muhammad 3 Fernández-Anaya, Guillermo 3 Fernandez, Arran 3 Fu, Hongfei 3 Ganji, Roghayeh Moallem 3 Gu, Zhendong 3 Guo, Yuling ...and 959 more Authors all top 5 Cited in 135 Serials 50 Applied Numerical Mathematics 50 Computational and Applied Mathematics 45 Advances in Difference Equations 31 Computers & Mathematics with Applications 29 Journal of Computational and Applied Mathematics 27 Mathematical Methods in the Applied Sciences 27 Chaos, Solitons and Fractals 24 Nonlinear Dynamics 23 Numerical Algorithms 22 Journal of Scientific Computing 22 Communications in Nonlinear Science and Numerical Simulation 20 Applied Mathematics and Computation 20 Mathematics and Computers in Simulation 19 International Journal of Computer Mathematics 17 Numerical Methods for Partial Differential Equations 16 International Journal of Nonlinear Sciences and Numerical Simulation 12 Applied Mathematical Modelling 12 Mathematical Sciences 12 Journal of Function Spaces 10 Journal of Computational Physics 9 Applied Mathematics Letters 9 Journal of Applied Mathematics and Computing 9 Computational Methods for Differential Equations 8 Fractional Calculus & Applied Analysis 8 Advances in Applied Mathematics and Mechanics 7 Journal of Vibration and Control 7 Discrete and Continuous Dynamical Systems. Series S 7 International Journal of Applied and Computational Mathematics 6 Mathematical Problems in Engineering 5 Physica A 5 Calcolo 5 Fractals 5 Engineering Analysis with Boundary Elements 5 Communications on Applied Mathematics and Computation 5 Electronic Research Archive 4 Advances in Computational Mathematics 4 Nonlinear Analysis. Modelling and Control 4 Boundary Value Problems 4 Iranian Journal of Numerical Analysis and Optimization 4 AIMS Mathematics 3 Journal of the Franklin Institute 3 Journal of Optimization Theory and Applications 3 Journal of the Egyptian Mathematical Society 3 Mathematical Modelling and Analysis 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Mediterranean Journal of Mathematics 3 Advances in Mathematical Physics 3 Journal of Mathematical Modeling 3 Open Mathematics 2 Applicable Analysis 2 Quaestiones Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Physica D 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Discrete Dynamics in Nature and Society 2 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Entropy 2 Hacettepe Journal of Mathematics and Statistics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 International Journal of Computational Methods 2 Journal of Physics A: Mathematical and Theoretical 2 Networks and Heterogeneous Media 2 Numerical Mathematics: Theory, Methods and Applications 2 Journal of Nonlinear Science and Applications 2 Journal of Mathematical Extension 2 S\(\vec{\text{e}}\)MA Journal 2 Journal of Applied Analysis and Computation 2 East Asian Journal on Applied Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters A 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Automatica 1 BIT 1 Mathematica Slovaca 1 Meccanica 1 Quarterly of Applied Mathematics 1 Optimal Control Applications & Methods 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mechanics 1 Neural Networks 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Memoirs on Differential Equations and Mathematical Physics ...and 35 more Serials all top 5 Cited in 39 Fields 581 Numerical analysis (65-XX) 422 Partial differential equations (35-XX) 191 Ordinary differential equations (34-XX) 190 Real functions (26-XX) 81 Integral equations (45-XX) 62 Special functions (33-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 37 Fluid mechanics (76-XX) 27 Approximations and expansions (41-XX) 27 Biology and other natural sciences (92-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 23 Operator theory (47-XX) 22 Systems theory; control (93-XX) 19 Mechanics of deformable solids (74-XX) 17 Probability theory and stochastic processes (60-XX) 11 Number theory (11-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Optics, electromagnetic theory (78-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Integral transforms, operational calculus (44-XX) 6 Quantum theory (81-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year