Fractional partial random differential equations with infinite delay

Abstract

The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure of noncompactness.

Keywords

• Random differential equation
• Left-sided mixed Riemann–Liouville integral
• Caputo fractional order derivative
• Darboux’s problem
• Unbounded delay