2024/02/14 by Dimplekumar Chalishajar, K. Dhanalakshmi, Chalishajar, Dimplekumar +5
Mathematics · #26A33 #34A08 #34K50 #35H15 #47H10 #60H10 #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.2402.09590
openalex publication_date 2024/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The existence, uniqueness, and exponential stability results for mild solutions to the fractional neutral stochastic differential system are presented in this article. To demonstrate 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 specify 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, exponential stability results for neutral stochastic differential systems with Poisson jump have been established. Finally, an application to demonstrate the acquired results is discussed. This paper extends the work of Chalishajar et al. \citer4 and Renu Chaudhary et al. \citer3.