Mild solutions for fractional stochastic partial differential inclusion

Abstract

This paper is addressed to the existence of mild solutionsfor Caputo fractional stochastic partial differential inclusion Included initial value innon separable Banach spaces. Utilizing stochastic analysis theory, sufficient conditions, Lusin measurable to the multivalued theory ( Lemma $2.14$) and the the Holder\textquoteright s inequality, we prove our main results. An example isprovided at the end to show the applicability of our obtained results.