Solvability Results for Hilfer Fractional Stochastic Mixed Volterra-Fredholm Integro-Differential Inclusions with Non-Dense Domain
摘要
The primary focus of this article is to examine the existence results for Hilfer fractional stochastic mixed Volterra-Fredholm integro-differential systems in Hilbert spaces. Our main outcomes are derived from the concepts of multi-valued mappings, fixed point theory, stochastic analysis, and fractional calculus. Initially, we investigate the existence of a mild solution to the proposed problem by employing the Bohnenblust-Karlin’s fixed point theorem. Furthermore, an illustrative example is presented to validate the theoretical findings and demonstrate the applicability of the proposed framework.