Ramkumar, Kasinathan and Ravikumar, Kasinathan and Anguraj, Annamalai (2021) Hilfer fractional neutral stochastic differential equations with non-instantaneous impulses. AIMS Mathematics, 6 (5). pp. 4474-4491. ISSN 4474–4491

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Abstract

The aim of this manuscript is to investigate the existence of mild solution of Hilfer fractional neutral stochastic differential equations (HFNSDEs) with non-instantaneous impluses. We establish a new criteria to guarantee the sufficient conditions for a class of HFNSDEs with non-instantaneous impluses of order 0 < β < 1 and type 0 ≤ α ≤ 1 is derived with the help of semigroup theory andfixed point approach, namely M ¨onch fixed point theorem. Finally, a numerical example is provided to validate the theoretical results.

Item Type: Article
Uncontrolled Keywords: existence; non-instantaneous impulsive equation; Hilfer fractional stochastic system; semigroup theory; M ¨onch fixed point theorem
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 06 Jun 2022 03:28
Last Modified: 06 Jun 2022 03:41
URI: http://ir.psgcas.ac.in/id/eprint/1209

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