S-asymptotically $\omega$-periodic solutions in distribution for a class of stochastic fractional functional differential equations

TL;DR

This paper introduces and proves the existence and uniqueness of S-asymptotically ω-periodic solutions in distribution for stochastic fractional functional differential equations, expanding the understanding of their long-term behavior.

Contribution

It presents new concepts of S-asymptotically ω-periodic solutions in distribution and establishes their existence and uniqueness using fixed point methods.

Findings

Existence of S-asymptotically ω-periodic solutions in distribution.

Uniqueness of these solutions under certain conditions.

Application of Banach contraction principle to stochastic fractional equations.

Abstract

In this paper, we introduce the concepts of S-asymptotically $\omega$-periodic solutions in distribution for a class of stochastic fractional functional differential equations. The existence and uniqueness results for the S-asymptotically $\omega$-periodic solutions in distribution are obtained by means of the successive approximation and the Banach contraction mapping principle, respectively.