Latha Maheswari, M and Karthik Muthusamy and Angeline Prashanthi, E (2025) Fractional stochastic differential equations anddegreetheory: a unified perspective. Fractional stochastic differential equations anddegreetheory: a unified perspective: 149. pp. 1-20.

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Abstract

This research focuses on the existence and uniqueness of solutions for a novel class of
tempered φ-Caputo stochastic fractional differential equations. The analysis is
grounded in foundational concepts from fractional calculus and topological degree
theory. We establish the existence of solutions by employing the topological degree
approach for condensing maps. Furthermore, the uniqueness of solutions is derived
using the Banach fixed point theorem. To validate our theoretical results, illustrative
examples are presented

Item Type: Article
Uncontrolled Keywords: Existence; Impulses; Fractional derivatives and integrals; Topological properties of mappings; Fixed-Point theorems; Stochastic differential equations
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Dr. B Sivakumar
Date Deposited: 30 Oct 2025 09:01
Last Modified: 30 Oct 2025 09:01
URI: https://ir.psgcas.ac.in/id/eprint/2480

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