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• Thermoelastic Interaction in an Infinite Long Hollow Cylinder with Fractional Heat Conduction Equation

  Ahmed. E. Abouelregal

  2018-05-05

  41924 3029 Pages:378-392

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

  Shanshan Xu, Lin Wang, Wenqiang Wang

  2023-04-11

  38654 3251 Pages:852-879

• A Convex Approximation for a PDE Constrained Fractional Optimization Problem with an Application to Photonic Crystal Design

  Mengyue Wu, Jianhua Yuan, Jianxin Zhang

  2023-10-11

  31044 2792 Pages:1540-1561

• 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

  275814 3761 Pages:1400-1432

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

  Shuiping Yang

  2018-05-05

  42554 3079 Pages:772-783

• 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

  40878 3043 Pages:293-305

• 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

  44492 3193 Pages:942-956

• 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

  27062 2377 Pages:1104-1120

• A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrödinger Equations

  Yao Shi, Qiang Ma, Xiaohua Ding

  2019-06-24

  45441 3285 Pages:1219-1247

• Numerical Schemes for Time-Space Fractional Vibration Equations

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

  2021-04-13

  45657 3191 Pages:806-826

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

  Zunlin Tan, Xiaoping Xie

  2026-08-01

  722 44 Pages:1210-1241

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

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  42520 4655 Pages:496-518

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  2023-12-21

  25909 2484 Pages:146-163

• A Fast Matrix Splitting Iteration Method for Fractional Regime-Switching Option Pricing Model

  Yuhan Li, Mingkai Wang, Junfeng Yin

  2025-09-29

  7094 326 Pages:1742-1760

• 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

  40731 3286 Pages:322-358

• 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

  49601 4404 Pages:202-217

• 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

  42374 2918 Pages:990-1011

• Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

  Chunlong Sun, Gongsheng Li, Xianzheng Jia

  2021-07-01

  42162 3622 Pages:1525-1546

• Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang

  2024-07-22

  26440 2423 Pages:1197-1222

• Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

  Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang

  2021-11-18

  50374 4386 Pages:56-78

• A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis

  Wei Qu, Yuanyuan Huang, Siu-Long Lei

  2024-11-01

  15770 1404 Pages:1474-1501

• A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation

  Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev

  2020-03-06

  49588 5005 Pages:57-86

• A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

  Guofei Pang, Wen Chen, Kam Yim Sze

  2018-05-05

  43778 4639 Pages:166-186

• A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

  Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao

  2020-03-06

  48491 5062 Pages:87-100

• 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

  46515 3905 Pages:1384-1417

• Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

  X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang

  2018-09-17

  45533 3206 Pages:1103-1125

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

  Zhiyong Xing, Liping Wen

  2020-12-18

  44257 3227 Pages:285-295