BANUPRIYA, K and RAMKUMAR, K and RAVIKUMAR, K and VARSHINI, S (2023) HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE. HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE, 38 (3). pp. 967-982. ISSN 1225-1763

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Abstract

Abstract. The goal of this study is to derive a class of random impulsive
non-local fractional stochastic differential equations with finite delay that
are of Caputo-type. Through certain constraints, the existence of the mild
solution of the aforementioned system are acquired by Kransnoselskii’s
fixed 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: Existence; stability; random impulse; fractional stochastic differential system; Kransnoselskii's fixed point theorem; Hyers-Ulam stability
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Dr. B Sivakumar
Date Deposited: 31 Oct 2025 06:15
Last Modified: 31 Oct 2025 06:15
URI: https://ir.psgcas.ac.in/id/eprint/2486

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