Varshini, S and Banupriya, K and Ravikumar, K (2022) HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE. HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE, XCI (4). pp. 351-364. ISSN 1225-1763

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Abstract

The goal of this study is to derive a class of random impulsive fractional
stochastic di�erential equations with �nite delay that are of Caputo-type. Through
certain constraints, the existence of the mild solution of the aforementioned system
are acquired by Kransnoselskii's �xed point theorem. Furthermore, through Ito
isometry and Gronwall's inequality, the Hyers-Ulam stability of the reckoned system
is evaluated using Lipschitz condition.

Item Type: Article
Uncontrolled Keywords: phrases. Existence; stability; random impulse; fractional stochastic di�erential system; Kransnoselskii's �xed point theorem; Hyers-Ulam stability.
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 09 Sep 2024 06:55
Last Modified: 09 Sep 2024 06:55
URI: https://ir.psgcas.ac.in/id/eprint/2229

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