Ramkumar, Kasinathan and Ravikumar, Kasinathan and Anguraj, Annamalai (2021) Well posedness of second-order impulsive fractional neutral stochastic differential equations. AIMS Mathematics, 6 (9). pp. 9222-9235. ISSN 9222–9235

[thumbnail of 10.3934_math.2021536.pdf] Text
10.3934_math.2021536.pdf - Published Version
Download (253kB)

Abstract

In this manuscript, we investigate a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by Poisson jumps in Banach space. Firstly, sufficient conditions of the existence and the uniqueness of the mild solution for this type of equations
are driven by means of the successive approximation and the Bihari’s inequality. Next we get the stability in mean square of the mild solution via continuous dependence on initial value.

Item Type: Article
Uncontrolled Keywords: stochastic fractional differential equations; Bihari’s inequality; successive approximation; Poisson jumps
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 06 Jun 2022 03:49
Last Modified: 06 Jun 2022 03:49
URI: http://ir.psgcas.ac.in/id/eprint/1211

Actions (login required)

View Item
View Item
Altmetric