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Advances in Applied Mathematics and Mechanics
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  • 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
  • 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 Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

    Xiaojun Zhou, Chuanju Xu
    2018-08-04
    42161 3083 Pages:574-595
  • Solutions of Fractional Partial Differential Equations of Quantum Mechanics

    S. D. Purohit
    2013-05-01
    43498 4490 Pages:639-651
  • Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative

    Mohammed S. Abdo, Satish K. Panchal
    2019-01-11
    47517 3213 Pages:338-359
  • 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
  • Exact Solutions for Fractional Differential-Difference Equations by (G′/G)-Expansion Method with Modified Riemann-Liouville Derivative

    Ahmet Bekir, Ozkan Guner, Burcu Ayhan, Adem C. Cevikel
    2018-05-05
    40779 3011 Pages:293-305
  • Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations

    Haidong Qu
    2018-08-04
    42361 3028 Pages:667-679
  • The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

    Shanshan Xu, Lin Wang, Wenqiang Wang
    2023-04-11
    38497 3190 Pages:852-879
  • 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
  • Dependence Analysis of the Solutions on the Parameters of Fractional Neutral Delay Differential Equations

    Shuiping Yang
    2018-05-05
    42442 3049 Pages:772-783
  • 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
  • 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
  • Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion

    Mengjie Wang, Xinjie Dai, Aiguo Xiao
    2021-11-18
    49427 4323 Pages:202-217
  • Toward a New Algorithm for Nonlinear Fractional Differential Equations

    Fadi Awawdeh, S. Abbasbandy
    2013-05-01
    41663 4185 Pages:222-234
  • An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

    Changfeng Li, Yirang Yuan, Huailing Song
    2021-07-01
    46374 3884 Pages:1384-1417
  • Numerical Schemes for Time-Space Fractional Vibration Equations

    Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang
    2021-04-13
    45507 3160 Pages:806-826
  • 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
  • Weighted Sonine Conditions and Application

    Xiangcheng Zheng, Shangqin Zhu, Yiqun Li
    2025-11-19
    187 2
  • Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

    Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang
    2021-11-18
    50221 4246 Pages:56-78
  • The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations

    Samah Horrigue, Mona Alsulami, Bayan Abduallah Alsaeedi
    2024-07-22
    26882 2334 Pages:1104-1120
  • 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 Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

    Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang
    2019-06-24
    45405 3243 Pages:1084-1113
  • A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation

    Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev
    2020-03-06
    49435 4940 Pages:57-86
  • An Immersed Boundary-Simplified Gas Kinetic Scheme for 2D Incompressible Flows with Curved and Moving Boundaries

    H. Dong, L. M. Yang
    2019-06-24
    45473 3227 Pages:1177-1199
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel

    Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt
    2025-07-19
    7426 463 Pages:1481-1508
1 - 27 of 27 items
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