Search Results

• A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

  Yufang Gao, Shengxiang Chang, Changna Lu

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0097

  15440 1451 pp. 1451-1473

• Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative

  Mohammed S. Abdo, Satish K. Panchal

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0143

  47942 3310 pp. 338-359

• 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

  DOI:10.4208/aamm.OA-2018-0038

  47437 4158 pp. 1440-1458

• Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

  D. B. Dhaigude, Gunvant A. Birajdar

  2014-06-01

  DOI:10.4208/aamm.12-m12105

  45640 5073 pp. 107-119

• Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

  M. Toranj-Simin, M. Hadizadeh

  2020-01-17

  DOI:10.4208/aamm.OA-2018-0234

  56165 3340 pp. 386-406

• Solutions of Fractional Partial Differential Equations of Quantum Mechanics

  S. D. Purohit

  2013-05-01

  DOI:10.4208/aamm.12-m1298

  43713 4600 pp. 639-651

• Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations

  Yibo Wang, Rui Du, Zhenhua Chai

  2022-04-11

  DOI:10.4208/aamm.OA-2021-0018

  45003 3701 pp. 914-935

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0066

  45774 3234 pp. 806-826

• Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations

  Shuiping Yang, Aiguo Xiao, Xinyuan Pan

  2011-03-01

  DOI:10.4208/aamm.10-m1045

  40179 4145 pp. 586-597

• A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

  Can Li, Weihua Deng

  2018-05-05

  DOI:10.4208/aamm.2015.m1069

  42371 3066 pp. 282-306

• 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

  DOI:10.4208/aamm.2013.m333

  41687 3166 pp. 528-548

• 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

  DOI:10.4208/aamm.2014.m798

  40982 3075 pp. 293-305

• An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

  Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0153

  275934 3794 pp. 1400-1432

• A Collocation Method for Solving Fractional Riccati Differential Equation

  Mustafa Gülsu, Yalçın Öztürk, Ayşe Anapali

  2021-07-01

  DOI:10.4208/aamm.12-m12118

  44568 4779 pp. 872-884

• Numerical Method for the Time Fractional Fokker-Planck Equation

  Xue-Nian Cao, Jiang-Li Fu, Hu Huang

  2021-07-01

  DOI:10.4208/aamm.12-12S13

  43009 4348 pp. 848-863

• Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

  N. H. Sweilam, M. M. Abou Hasan

  2018-05-05

  DOI:10.4208/aamm.2015.m1312

  42503 2986 pp. 990-1011

• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  DOI:10.4208/aamm.10-m1210

  42650 4733 pp. 496-518

• Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

  Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0263

  40942 3320 pp. 322-358

• A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

  Zhiyong Xing, Liping Wen

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0346

  44390 3275 pp. 285-295

• Homotopy Perturbation Method for Time-Fractional Shock Wave Equation

  Mithilesh Singh, Praveen Kumar Gupta

  2021-07-01

  DOI:10.4208/aamm.10-m1137

  40967 4272 pp. 774-783

• 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

  DOI:10.4208/aamm.OA-2022-0009

  27217 2425 pp. 1104-1120

• A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

  Jing Guo, Da Xu

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0064

  50233 3344 pp. 1261-1279

• Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

  M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi

  2014-06-01

  DOI:10.4208/aamm.12-m12132

  43190 4356 pp. 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

  DOI:10.4208/aamm.OA-2018-0162

  44604 3234 pp. 942-956

• A Fully Discrete Method for Space-Time Fractional Parabolic Problems

  Zunlin Tan, Xiaoping Xie

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0056

  1041 96 pp. 1210-1241

• 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

  2026-08-01

  DOI:10.4208/aamm.OA-2023-0307

  1026 84 pp. 1155-1188

• The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

  Shanshan Xu, Lin Wang, Wenqiang Wang

  2023-04-11

  DOI:10.4208/aamm.OA-2021-0222

  38791 3310 pp. 852-879