HYERS-ULAM STABILITY RESULT FOR HILFER FRACTIONAL INTEGRODIFFERENTIAL STOCHASTIC EQUATIONS WITH FRACTIONAL NOISES AND NON-INSTANTANEOUS IMPULSES

被引：3
作者：
Priyadharsini, J. [1 ]
Balasubramaniam, P. [2 ]
机构：
[1] Amer Coll, Dept Math, Madurai 625002, Tamil Nadu, India
[2] Deemed Univ, Gandhigram Rural Inst, Dept Math, Dindigul 624302, Tamil Nadu, India
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2024年 / 13卷 / 01期
关键词：
Differential system; Fractional Brownian motion; Fractional calculus; Non-instantaneous impulse; Schaefer fixed point theorem and Stochastic differential equations; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.3934/eect.2023042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the existence of solution is established in finite dimensional settings for nonlinear Hilfer fractional integrodifferential stochastic equations (HFISEs) driven by multiplicative and fractional noises with non instantaneous (NI) impulses with Hurst index H & ISIN; (21,1). At first, authors obtained the existence result by using the generalized fractional derivative (Hilfer), Banach fixed point theorem (FPT) and stochastic analysis approach. Secondly the existence result is obtained by applying Schaefer's type FPT for less conservative conditions. Then, we discuss the Ulam-Hyers-Rassias (UHR) stability for HFISEs. An example is illustrated to validate the obtained theoretical results.
引用
收藏
页码：173 / 193
页数：21
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