Coupled fractional differential systems with random effects in Banach spaces-Reference-Cited by-同舟云学术

Coupled fractional differential systems with random effects in Banach spaces

Published:2021-10-27 Issue:4 Volume:29 Page:251-263
ISSN:0926-6364
Container-title:Random Operators and Stochastic Equations
language:en
Short-container-title:

Author:

Zentar O.¹,Ziane M.²,Khelifa S.³

Affiliation:

1. Faculty of Mathematics and Informatics , Ibn Khaldoun University , Tiaret ; and Department of Analysis, Faculty of Mathematics, University of Science and Technology Houari Boumediene , Algeria

2. Department of Mathematics , Ibn Khaldoun University , Tiaret , Algeria

3. Department of Analysis , Faculty of Mathematics , University of Science and Technology Houari Boumediene , Bab Ezzouar , Algeria

Abstract

Abstract The purpose of this work is to investigate the existence of solutions for a system of random differential equations involving the Riemann–Liouville fractional derivative. The existence result is established by means of a random abstract formulation to Sadovskii’s fixed point theorem principle [A. Baliki, J. J. Nieto, A. Ouahab and M. L. Sinacer, Random semilinear system of differential equations with impulses, Fixed Point Theory Appl. 2017 2017, Paper No. 27] combined with a technique based on vector-valued metrics and convergent to zero matrices. An example is also provided to illustrate our result.

Publisher

Walter de Gruyter GmbH

Subject

Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rose-2021-2064/pdf

Reference27 articles.

1. S. Abbas, N. Al Arifi, M. Benchohra and J. Graef, Random coupled systems of implicit Caputo–Hadamard fractional differential equations with multi-point boundary conditions in generalized Banach spaces, Dyn. Syst. Appl. 28 (2019), no. 2, 329–350.

2. S. Abbas, W. A. Albarakati, M. Benchohra and J. Henderson, Existence and Ulam stabilities for Hadamard fractional integral equations with random effects, Electron. J. Differential Equations 2016 (2016), Paper No. 25.

3. S. Abbas, M. Benchohra and G. M. N’Guérékata, Topics in Fractional Differential Equations, Dev. Math. 27, Springer, New York, 2012.

4. S. Abbas, M. Benchohra and G. M. N’Guerekata, Advanced Fractional Differential and Integral Equations, Math. Res. Dev., Nova Science, New York, 2015.

5. S. Abbas, M. Benchohra and Y. Zhou, Coupled Hilfer fractional differential systems with random effects, Adv. Difference Equ. 2018 (2018), Paper No. 369.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Theoretical study of a -Hilfer fractional differential system in Banach spaces;Canadian Mathematical Bulletin;2024-02-27

2. On the $$\Phi $$-tempered fractional differential systems of Riemann--Liouville type;The Journal of Analysis;2024-01-04