Ergodicity for Stochastic Neutral Retarded Partial Differential Equations Driven by $\alpha$-regular Volterra process

TL;DR

This paper investigates the ergodic behavior of a class of stochastic neutral retarded partial differential equations driven by $\

Contribution

It establishes ergodicity results for neutral retarded stochastic functional differential equations driven by $\",

Findings

Proves ergodicity of the considered equations.

Establishes equivalence between different stochastic equations.

Provides conditions for ergodic behavior.

Abstract

In this article, we study the ergodicity of neutral retarded stochastic functional differential equations driven by $\alpha$-regular Volterra process. Based on the equivalence between neutral retarded stochastic functional differential equations and the stochastic evolution equation, we get the ergodicity of neutral retarded stochastic functional differential equations.