Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations

Abstract

In the present paper we provide some existence results and Ulam’s type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompactness and a random fixed point theorem with stochastic domain. AMS Subject Classification: 26A33, 34G20, 34A40, 45N05, 47H10.