Varshini, S and Banupriya, K and Ramkumar, Kasinathan and Ravikumar, Kasinathan (2022) Existence and Stability Results of Stochastic Differential Equations with Non-instantaneous Impulse and Poisson jumps. Existence and Stability Results of Stochastic Differential Equations, 9. pp. 256-271.

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Abstract

This paper focuses on a new class of non-instantaneous impulsive stochastic differential equations
generated by mixed fractional Brownian motion with poisson jump in real separable Hilbert space. A set of
sufficient conditions are generated based on the stochastic analysis technique, analytic semigroup theory of
linear operators, fractional power of operators, and fixed point theory to obtain existence and uniqueness
results of mild solutions for the considered system. Furthermore, the asymptotic behaviour of the system is
investigated. Finally, an example is proposed to validate the obtained results.

Item Type: Article
Uncontrolled Keywords: Stability; Stochastic Differential System; Fractional Brownian motion; non-instantaneous impulse
Depositing User: Mr Team Mosys
Date Deposited: 15 Mar 2023 09:51
Last Modified: 15 Mar 2023 09:51
URI: http://ir.psgcas.ac.in/id/eprint/1783

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