On Existence and Continuity Results of Solution for Multi-time Scale Fractional Stochastic Differential Equation

被引：13

作者：

Alkhazzan, Abdulwasea ^{[1
,2
]}

Wang Jungang ^{[1
]}

Tunc, Cemil ^{[3
]}

Ding Xiaoli ^{[4
]}

Yuan Zhanbin ^{[1
]}

Nie Yufeng ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710072, Shannxi, Peoples R China

[2] Sanaa Univ, Fac Sci, Dept Math, Sanaa, Yemen

[3] Van Yuzuncu Yil Univ, Coll Sci, Dept Math, Campus, TR-65080 Van, Turkiye

[4] Xian Polytech Univ, Dept Math, Xian 710048, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Ulam-Hyers stability; Stochastic differential equations; Existence; Uniqueness; Continuity of solution; Riemann Liouville's fractional integral; STABILITY; UNIQUENESS;

D O I：

10.1007/s12346-023-00750-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study four critical aspects of a new class of multi-time scale nonlinear fractional stochastic differential equations with fractional integral in the sense of Riemann Liouville. A primary goal of this paper is to investigate the existence, uniqueness, Ulam-Hyers stability, and continuity of the solutions under sufficient assumptions using the Banach contraction theorem. At the end of the paper, a specific example is provided to demonstrate the efficiency and effectiveness of the new results of this paper.

引用

页数：23

共 51 条

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