A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations AH Bhrawy, MA Zaky Journal of Computational Physics 281 (2015), 876-895, 2015 | 322 | 2015 |

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation MA Zaky, AH Bhrawy Nonlinear Dynamics 80 (2015), 101-116, 2015 | 271 | 2015 |

An improved collocation method for multi-dimensional space–time variable-order fractional Schrödinger equations AH Bhrawy, MA Zaky Applied Numerical Mathematics, 111 (2017), 197–218, 2017 | 171 | 2017 |

On the formulation and numerical simulation of distributed-order fractional optimal control problems MA Zaky Communications in Nonlinear Science and Numerical Simulation 2017 (52), 177-189, 2017 | 148 | 2017 |

Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model MA Abdelkawy, MA Zaky, AH Bhrawy Romanian Reports in Physics 67 (2016), 773-791, 2016 | 140 | 2016 |

New Numerical Approximations for Space-Time Fractional Burgers' Equations via a Legendre Spectral-Collocation Method AH Bhrawy, MA Zaky Romanian Reports in Physics 67, 340-349, 2015 | 134 | 2015 |

Numerical algorithm for the variable-order caputo fractional functional differential equation AH Bhrawy, MA Zaky Nonlinear Dynamics, 85(3), (2016) 1815–1823, 2016 | 123 | 2016 |

Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations AH Bhrawy, MA Zaky Computers & Mathematics with Applications 73 (2017), 1100-1117, 2017 | 116 | 2017 |

Shifted fractional-order Jacobi orthogonal functions: Application to a system of fractional differential equations AH Bhrawy, MA Zaky Applied Mathematical Modelling 40 (2016), 832–845, 2016 | 116 | 2016 |

A Legendre collocation method for distributed-order fractional optimal control problems MA Zaky Nonlinear Dynamics 2018 (91), 2667-2681, 2018 | 99 | 2018 |

A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation MA Zaky, AH Bhrawy, RA Van Gorder Numerical Algorithms 71 (2016), 151-180, 2016 | 97 | 2016 |

An improved tau method for the multi-dimensional fractional Rayleigh–Stokes problem for a heated generalized second grade fluid MA Zaky Computers & Mathematics with Application 2018 (75), 2243-2258, 2018 | 90 | 2018 |

Semi-implicit Galerkin–Legendre spectral schemes for nonlinear time-space fractional diffusion–reaction equations with smooth and nonsmooth solutions MA Zaky, AS Hendy Journal of Scientific Computing 82 (2020), 1-27, 2020 | 83 | 2020 |

A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations MA Zaky Computational and Applied Mathematics 2018 (37), 3525–3538, 2018 | 71 | 2018 |

Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems MA Zaky Applied Numerical Mathematics 145 (2019), 429-457, 2019 | 70 | 2019 |

A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients AH Bhrawy, MA Zaky Mathematical Methods in the Applied Sciences 39 (2016), 1765–1779, 2016 | 69 | 2016 |

Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions MA Zaky Journal of Computational and Applied Mathematics 357 (2019), 103-122, 2019 | 66 | 2019 |

An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions MA Zaky Applied Numerical Mathematics 154 (2020), 205-222, 2020 | 61 | 2020 |

Numerical Solution of the Two-sided Space-Time Fractional Telegraph Equation via Chebyshev Tau Approximation AH Bhrawy, MA Zaky Journal of Optimization Theory and Applications 174 (2017), 321-341, 2017 | 61 | 2017 |

Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations AS Hendy, MA Zaky Applied Numerical Mathematics 156 (2020), 276-302, 2020 | 59 | 2020 |