Ramkumar, k and Ravikumar, k (2024) Exponential Stability of Higher-Order Fractional Neutral Stochastic Differential Equation via Integral Contractors. Exponential Stability of Higher-Order Fractional Neutral Stochastic Differential Equation via Integral Contractors. pp. 1-33.

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Abstract

The existence, uniqueness and exponential stability results for mild solutions to
the fractional neutral stochastic differential system are presented in this article. To demon�strate the results, the concept of bounded integral contractors is combined with the stochastic
result and sequencing technique. In contrast to previous publications, we do not need to spec�ify the induced inverse of the controllability operator to prove the stability results, and the
relevant nonlinear function does not have to meet the Lipschitz condition. Furthermore, ex�ponential stability results for neutral stochastic differential system with Poisson jump have
been established. Finally, an application to demonstrate the acquired results is discussed.
This paper extends work of Chalishajar et al. [4] and Renu Chaudhary et al.

Item Type: Article
Uncontrolled Keywords: Exponential Stability, Impulsive Integral Inequality, Semigroup Theory, Succes�sive Approximation Method.
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 16 Aug 2024 10:49
Last Modified: 16 Aug 2024 10:49
URI: https://ir.psgcas.ac.in/id/eprint/2165

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