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

Abdulwasea Alkhazzan, Jungang Wang, Cemil Tunç, Xiaoli Ding, Zhanbin Yuan, Yufeng Nie

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16 引用 (Scopus)

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.

源语言英语
文章编号49
期刊Qualitative Theory of Dynamical Systems
22
2
DOI
出版状态已出版 - 6月 2023

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