Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Strong convergence analysis of time discretization for stochastic nonlinear diffusion-wave equations driven by fractional Brownian motion

Xing Liu and Yumeng Yang
Computers & Mathematics with Applications 205 251 (2026)
https://doi.org/10.1016/j.camwa.2026.01.011

Numerical approximation of semilinear stochastic subdiffusion driven by fractionally integrated fBm via the Mittag-Leffler Euler scheme

Zhiqiang Li and Yubin Yan
Communications in Nonlinear Science and Numerical Simulation 156 109633 (2026)
https://doi.org/10.1016/j.cnsns.2025.109633

Numerical study for a stochastic semilinear subdiffusion equation driven by fractional Brownian motions

Zhiqiang Li, George Dewhirst and Yubin Yan
Communications in Nonlinear Science and Numerical Simulation 152 109182 (2026)
https://doi.org/10.1016/j.cnsns.2025.109182

Time discretization schemes for stochastic subdiffusion and fractional wave equations with integrated additive noise

Minghua Chen, Jiankang Shi, Zhen Song, Yubin Yan and Zhi Zhou
Computers & Mathematics with Applications 202 155 (2026)
https://doi.org/10.1016/j.camwa.2025.11.012

Numerical Algorithms for Nonlinear Fractional Stochastic Volterra-Type Equation

Leijie Qiao, Qimin Li and Yubin Yan
International Journal of Applied and Computational Mathematics 11 (6) (2025)
https://doi.org/10.1007/s40819-025-02053-y

Strong Approximation of Stochastic Subdiffusion Driven by Integrated Multiplicative Space-Time White Noise

Lihua Wang and Xiao Qi
Communications on Applied Mathematics and Computation (2025)
https://doi.org/10.1007/s42967-025-00521-2

Milstein Scheme for a Stochastic Semilinear Subdiffusion Equation Driven by Fractionally Integrated Multiplicative Noise

Xiaolei Wu and Yubin Yan
Fractal and Fractional 9 (5) 314 (2025)
https://doi.org/10.3390/fractalfract9050314

Well-posedness and strong convergence analysis of stochastic space-time fractional wave problems driven by fractional Brownian sheet

Yi Yang, Jin Huang and Hu Li
Computers & Mathematics with Applications 194 177 (2025)
https://doi.org/10.1016/j.camwa.2025.06.013

Numerical Simulations for Parabolic Stochastic Equations Using a Structure-Preserving Local Discontinuous Galerkin Method

Mengqin Han, Zhenyu Wang and Xiaohua Ding
Axioms 14 (5) 357 (2025)
https://doi.org/10.3390/axioms14050357

Finite difference methods for stochastic Helmholtz equation driven by white noise

Yanzhen Cui, Shibing Tang and Chao Zhang
Journal of Computational and Applied Mathematics 457 116286 (2025)
https://doi.org/10.1016/j.cam.2024.116286

Strong approximation of the time-fractional Cahn–Hilliard equation driven by a fractionally integrated additive noise

Mariam Al-Maskari and Samir Karaa
Computers & Mathematics with Applications 180 28 (2025)
https://doi.org/10.1016/j.camwa.2024.12.007

Monte Carlo method for the Cauchy problem of fractional diffusion equation concerning fractional Laplacian

Caiyu Jiao and Changpin Li
Applied Numerical Mathematics 201 20 (2024)
https://doi.org/10.1016/j.apnum.2024.02.008

Convergence analysis of a fully discrete scheme for diffusion-wave equation forced by tempered fractional Brownian motion

Xing Liu and Hui Li
Computers & Mathematics with Applications 169 39 (2024)
https://doi.org/10.1016/j.camwa.2024.06.004

An efficient numerical method to the stochastic fractional heat equation with random coefficients and fractionally integrated multiplicative noise

Xiao Qi and Chuanju Xu
Fractional Calculus and Applied Analysis 27 (5) 2754 (2024)
https://doi.org/10.1007/s13540-024-00335-8

Error Analysis for Semilinear Stochastic Subdiffusion with Integrated Fractional Gaussian Noise

Xiaolei Wu and Yubin Yan
Mathematics 12 (22) 3579 (2024)
https://doi.org/10.3390/math12223579

Error analysis of a fully discrete method for time-fractional diffusion equations with a tempered fractional Gaussian noise

Xing Liu
Journal of Computational and Applied Mathematics 449 115953 (2024)
https://doi.org/10.1016/j.cam.2024.115953

Mittag–Leffler Euler Integrator and Large Deviations for Stochastic Space-Time Fractional Diffusion Equations

Xinjie Dai, Jialin Hong and Derui Sheng
Potential Analysis 60 (4) 1333 (2024)
https://doi.org/10.1007/s11118-023-10090-9

Analyzing the continuity of the mild solution in finite element analysis of semilinear stochastic subdiffusion problems

Fang Cheng, Ye Hu and Mati ur Rahman
AIMS Mathematics 9 (4) 9364 (2024)
https://doi.org/10.3934/math.2024456

Numerical approximation of the stochastic equation driven by the fractional noise

Xinfei Liu and Xiaoyuan Yang
Applied Mathematics and Computation 452 128053 (2023)
https://doi.org/10.1016/j.amc.2023.128053

An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation

A. Oulmelk, L. Afraites and A. Hadri
Computational and Applied Mathematics 42 (1) (2023)
https://doi.org/10.1007/s40314-023-02206-z

Galerkin Finite Element Approximation of a Stochastic Semilinear Fractional Wave Equation Driven by Fractionally Integrated Additive Noise

Bernard A. Egwu and Yubin Yan
Foundations 3 (2) 290 (2023)
https://doi.org/10.3390/foundations3020023

On Spectral Petrov–Galerkin Method for Solving Optimal Control Problem Governed by Fractional Diffusion Equations with Fractional Noise

Shengyue Li and Wanrong Cao
Journal of Scientific Computing 94 (3) (2023)
https://doi.org/10.1007/s10915-022-02088-z

Monte Carlo method for parabolic equations involving fractional Laplacian

Caiyu Jiao and Changpin Li
Monte Carlo Methods and Applications 29 (1) 33 (2023)
https://doi.org/10.1515/mcma-2022-2129

Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise

K. Fahim, E. Hausenblas and M. Kovács
Stochastics and Partial Differential Equations: Analysis and Computations 11 (3) 1044 (2023)
https://doi.org/10.1007/s40072-022-00250-0

A fast Euler–Maruyama method for Riemann–Liouville stochastic fractional nonlinear differential equations

Jingna Zhang, Jingyun Lv, Jianfei Huang and Yifa Tang
Physica D: Nonlinear Phenomena 446 133685 (2023)
https://doi.org/10.1016/j.physd.2023.133685

Strong convergence rates for the approximation of a stochastic time-fractional Allen–Cahn equation

Mariam Al-Maskari and Samir Karaa
Communications in Nonlinear Science and Numerical Simulation 119 107099 (2023)
https://doi.org/10.1016/j.cnsns.2023.107099

Stochastic fractional integro-differential equations with weakly singular kernels: Well-posedness and Euler–Maruyama approximation

Xinjie Dai, Aiguo Xiao and Weiping Bu
Discrete and Continuous Dynamical Systems - B 27 (8) 4231 (2022)
https://doi.org/10.3934/dcdsb.2021225

Error estimates of a finite element method for stochastic time-fractional evolution equations with fractional Brownian motion

Jingyun Lv
International Journal of Modeling, Simulation, and Scientific Computing 13 (01) (2022)
https://doi.org/10.1142/S1793962322500064

Weak convergence of the L1 scheme for a stochastic subdiffusion problem driven by fractionally integrated additive noise

Ye Hu, Changpin Li and Yubin Yan
Applied Numerical Mathematics 178 192 (2022)
https://doi.org/10.1016/j.apnum.2022.04.004

Numerical Approximations for the Fractional Fokker–Planck Equation with Two-Scale Diffusion

Jing Sun, Weihua Deng and Daxin Nie
Journal of Scientific Computing 91 (2) (2022)
https://doi.org/10.1007/s10915-022-01812-z

On backward problems for stochastic fractional reaction equations with standard and fractional Brownian motion

Nguyen Huy Tuan, Mohammud Foondun, Tran Ngoc Thach and Renhai Wang
Bulletin des Sciences Mathématiques 179 103158 (2022)
https://doi.org/10.1016/j.bulsci.2022.103158

Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise

Wenyan Kang, Bernard A Egwu, Yubin Yan and Amiya K Pani
IMA Journal of Numerical Analysis 42 (3) 2301 (2022)
https://doi.org/10.1093/imanum/drab035

Strong Convergence Order for the Scheme of Fractional Diffusion Equation Driven by Fractional Gaussian Noise

Daxin Nie, Jing Sun and Weihua Deng
SIAM Journal on Numerical Analysis 60 (4) 1879 (2022)
https://doi.org/10.1137/20M1356270

Spatial Discretization for Stochastic Semi-Linear Subdiffusion Equations Driven by Fractionally Integrated Multiplicative Space-Time White Noise

Junmei Wang, James Hoult and Yubin Yan
Mathematics 9 (16) 1917 (2021)
https://doi.org/10.3390/math9161917

Error Estimates of a Continuous Galerkin Time Stepping Method for Subdiffusion Problem

Yuyuan Yan, Bernard A. Egwu, Zongqi Liang and Yubin Yan
Journal of Scientific Computing 88 (3) (2021)
https://doi.org/10.1007/s10915-021-01587-9

Weak Convergence Rates for an Explicit Full-Discretization of Stochastic Allen–Cahn Equation with Additive Noise

Meng Cai, Siqing Gan and Xiaojie Wang
Journal of Scientific Computing 86 (3) (2021)
https://doi.org/10.1007/s10915-020-01378-8

Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction–diffusion equation

Xinfei Liu and Xiaoyuan Yang
Computers & Mathematics with Applications 84 39 (2021)
https://doi.org/10.1016/j.camwa.2020.12.004

Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models

Li Chai, Yang Liu and Hong Li
Computers & Mathematics with Applications 100 1 (2021)
https://doi.org/10.1016/j.camwa.2021.08.027

Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise

Zhaopeng Hao and Zhongqiang Zhang
SIAM/ASA Journal on Uncertainty Quantification 9 (3) 1013 (2021)
https://doi.org/10.1137/20M1374286

On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions

Nguyen Huy Tuan, Tomás Caraballo and Tran Ngoc Thach
Asymptotic Analysis 123 (3-4) 335 (2021)
https://doi.org/10.3233/ASY-201637

Regularized solution of a Cauchy problem for stochastic elliptic equation

Tuan Nguyen Huy, Luu Vu Cam Hoan, Yong Zhou and Tran Ngoc Thach
Mathematical Methods in the Applied Sciences 44 (15) 11863 (2021)
https://doi.org/10.1002/mma.6519

Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald–Letnikov Formulae with Nonsmooth Data

Yanyong Wang, Yuyuan Yan, Yubin Yan and Amiya K. Pani
Journal of Scientific Computing 83 (3) (2020)
https://doi.org/10.1007/s10915-020-01223-y

An analysis of the L1 scheme for stochastic subdiffusion problem driven by integrated space-time white noise

Xiaolei Wu, Yuyuan Yan and Yubin Yan
Applied Numerical Mathematics 157 69 (2020)
https://doi.org/10.1016/j.apnum.2020.05.014