P-mean (mu1,mu2)-pseudo almost periodic processes and application to integro-differential stochastic evolution equations

Abstract

In this article, we investigate the existence and stability of p-mean \((\mu_1,\mu_2)\)-pseudo almost periodic solutions for a class of non-autonomous integro-differential stochastic evolution equations in a real separable Hilbert space. Using stochastic analysis techniques and the contraction mapping principle, we prove the existence and uniqueness of p-mean \((\mu_1,\mu_2)\)-pseudo almost periodic solutions. We also provide sufficient conditions for the stability of these solutions. Finally, we present three examples with numerical simulations to illustrate the significance of the main findings. For mor information see https://ejde.math.txstate.edu/Volumes/2024/24/abstr.html