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Advances in Applied Mathematics and Mechanics
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  • A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

    Yufang Gao, Shengxiang Chang, Changna Lu
    2024-11-01
    15116 1370 Pages:1451-1473
  • Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

    D. B. Dhaigude, Gunvant A. Birajdar
    2014-06-01
    45444 4955 Pages:107-119
  • Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations

    Yibo Wang, Rui Du & Zhenhua Chai
    2022-04-11
    44675 3630 Pages:914-935
  • Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative

    Mohammed S. Abdo, Satish K. Panchal
    2019-01-11
    47517 3213 Pages:338-359
  • Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

    M. Toranj-Simin, M. Hadizadeh
    2020-01-17
    55934 3239 Pages:386-406
  • Solutions of Fractional Partial Differential Equations of Quantum Mechanics

    S. D. Purohit
    2013-05-01
    43498 4490 Pages:639-651
  • Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations

    Haidong Qu
    2018-08-04
    42361 3028 Pages:667-679
  • A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

    Can Li, Weihua Deng
    2018-05-05
    42130 3001 Pages:282-306
  • A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer

    Ji Lin, Sergiy Reutskiy, Wenjie Feng
    2022-02-25
    47406 3301 Pages:666-702
  • Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

    Xingfa Yang, Yin Yang, Yanping Chen, Jie Liu
    2021-07-01
    47168 4083 Pages:1440-1458
  • Numerical Method for the Time Fractional Fokker-Planck Equation

    Xue-Nian Cao, Jiang-Li Fu, Hu Huang
    2021-07-01
    42765 4207 Pages:848-863
  • A Collocation Method for Solving Fractional Riccati Differential Equation

    Mustafa Gülsu, Yalçın Öztürk, Ayşe Anapali
    2021-07-01
    44336 4629 Pages:872-884
  • Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations

    Jingtang Ma, Zhiqiang Zhou
    2021-07-01
    43848 4049 Pages:911-931
  • Exact Solutions for the Flow of Fractional Maxwell Fluid in Pipe-Like Domains

    Vatsala Mathur, Kavita Khandelwal
    2018-05-05
    42577 2973 Pages:784-794
  • Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian

    Jiaqi Zhang, Yin Yang, Zhaojie Zhou
    2023-10-11
    30650 2720 Pages:1631-1654
  • Fibre-Reinforced Generalized Anisotropic Thick Plate with Initial Stress under the Influence of Fractional Thermoelasticity Theory

    Ahmed. E. Abouelregal
    2018-08-04
    41823 2999 Pages:722-741
  • Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

    Xiaojun Zhou, Chuanju Xu
    2018-08-04
    42161 3083 Pages:574-595
  • A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems

    Juan Zhang, Jiabin Song, Huanzhen Chen
    2023-02-24
    38911 3284 Pages:568-582
  • Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations

    Shuiping Yang, Aiguo Xiao, Xinyuan Pan
    2011-03-01
    39968 3984 Pages:586-597
  • A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

    Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li
    2025-11-28
    93 3
  • Thermoelectric Viscoelastic Fluid with Fractional Integral and Derivative Heat Transfer

    Magdy A. Ezzat, A. S. Sabbah, A. A. El-Bary, S. M. Ezzat
    2018-05-05
    41476 3093 Pages:528-548
  • Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives

    Tomasz Blaszczyk, Mariusz Ciesielski
    2018-05-05
    43760 4998 Pages:173-185
  • Homotopy Perturbation Method for Time-Fractional Shock Wave Equation

    Mithilesh Singh, Praveen Kumar Gupta
    2021-07-01
    40765 4162 Pages:774-783
  • Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

    M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi
    2014-06-01
    43011 4232 Pages:247-260
  • The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

    Zhiyong Xing, Liping Wen
    2019-06-24
    44375 3171 Pages:942-956
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

    Kolade M. Owolabi, Abdon Atangana
    2021-07-01
    42738 3879 Pages:1438-1460
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