**Saïd Abbas 1, Nassir Al Arifi 2, Mouffak Benchohra 3,4 and Yong Zhou 5,6,\***


Received: 30 January 2019; Accepted: 15 March 2019; Published: 20 March 2019

**Abstract:** This article deals with some existence and uniqueness result of random solutions for some coupled systems of Hilfer and Hilfer–Hadamard fractional differential equations with random effects. Some applications are made of generalizations of classical random fixed point theorems on generalized Banach spaces.

**Keywords:** fractional differential systems; mixed Riemann–Liouville integral; mixed Hadamard integral; Hilfer derivative; Hadamard derivative; coupled system; random solution

**MSC:** 26A33; 34G25
