Random Caputo-Fabrizio fractional differential inclusions

Abstract

This paper deals with some existence and Ulam stability results for Caputo-Fabrizio type fractional differential inclusions with convex and non-convex right hand side. We employ some multi-valued random fixed point theorems and the notion of the generalized Ulam-Hyers-Rassias stability. Next we present two examples in the last section.

Keywords

• random functional differential inclusion
• caputo-fabrizio fractional derivative
• convex
• non-convex
• existence
• ulam stability
• random solution
• fixed point