Dynamics and stability for Katugampola random fractional differential equations

Abstract

This paper deals with some existence of random solutions and the Ulam stability for a class of Katugampola random fractional differential equations in Banach spaces. A random fixed point theorem is used for the existence of random solutions, and we prove that our problem is generalized Ulam-Hyers-Rassias stable. An illustrative example is presented in the last section.

Keywords

• differential equation
• katugampola fractional integral
• katugampola fractional derivative
• random solution
• banach space
• ulam stability
• fixed point