Existence of general mean square solutions for a sequential random fractional differential system with nonlocal conditions

被引：0

作者：

Yfrah, Hafssa ^{[1
]}

Dahmani, Zoubir ^{[1
]}

机构：

[1] Univ Mostaganem, Fac Sci, Lab Pure & Appl Math, Mostaganem 27000, Algeria

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 08期

关键词：

Caputo derivative; Sequential random differential equation; Existence and uniqueness; Coupled system; Mean square solution; EQUATIONS;

D O I：

10.1080/09720502.2021.1959001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we discuss the existence of solutions for a coupled system of two-sequential random fractional differential equations involving nonlocal periodic boundary conditions. Using a version of Leray-Schauder alternative theorem, we present recent results on the existence of coupled solutions for the problem. The obtained solutions as well as their Caputo derivatives satisfy some stochastic processes properties. An illustrative example is also discussed at the end of this paper.

引用

页码：2343 / 2364

页数：22

共 24 条

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