Existence and Ulam stability for two orders delay fractional differential equations

Abstract

In this paper, we study the existence and uniqueness for nonlinear delay fractional differential equations with two orders of Caputo's fractional derivative using the Banach fixed point theorem. Also, we establish the Ulam stability of solutions. Finally, we give an example to illustrate the results.

Keywords

• Delay fractional differential equations
• Caputo fractional derivative
• Banach fixed point theorem
• Ulam stability