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Author ID: zaky.mahmoud-a Recent zbMATH articles by "Zaky, Mahmoud A."
Published as: Zaky, Mahmoud A.; Zaky, M. A.; Zaky, Mahmoud
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

Publications by Year

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 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