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Ramalingam Udhayakumar
Department of Mathematics, Vellore Institute of Technology
Mathematics

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An Existence and Uniqueness of Solutions for a Stochastic Differential Equations with \psi-Caputo Fractional Derivative R. Hariharan; Ramalingam Udhayakumar
Journal of the Indonesian Mathematical Society Vol. 32 No. 3 (2026): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i3.2325

Abstract

The present work investigates the existence and uniqueness of solutions for a fractional stochastic differential equations with $\psi$-Caputo fractional derivatives. We establish important theoretical conclusion and examine the energy growth bounds and asymptotic behavior of the stochastic solution using the Banach's fixed point theorem. Additionally, we consider our analysis into single-valued function derived from multivalued mappings. We provide examples to validate in our methodology.
Co-Authors R. Hariharan