The local existence of solutions for random fuzzy integro-differential equations under generalized H-differentiability

In this paper, we consider the random fuzzy integro-differential equations (RFIDEs) under generalized H-differentiability. The local existence of solutions for RFIDEs with initial conditions under generalized H-differentiability is studied. Two theorems for local existence of solutions are given and proved. Some examples are given to illustrate these results.