Existence of almost automorphic solution in distribution for a class of stochastic integro-differential equation driven by Levy noise

TL;DR

This paper studies the existence of almost automorphic solutions in distribution for a class of stochastic integro-differential equations driven by Levy noise, expanding understanding of their long-term behavior.

Contribution

It establishes the existence of almost automorphic solutions in distribution for stochastic integro-differential equations with Levy noise, a novel contribution in this area.

Findings

Existence of almost automorphic solutions proven.

Conditions under which solutions exist are identified.

Theoretical framework developed for Levy-driven equations.

Abstract

We investigate a class of stochastic integro differential equations driven by Levy noise.