Sequential fractional pantograph differential equations with nonlocal boundary conditions: Uniqueness and Ulam-Hyers-Rassias stability

Abstract

In the current manuscript, we study the uniqueness and Ulam-stability of solutions for sequential fractional pantograph differential equations with nonlocal boundary conditions. The uniqueness of solutions is established by Banach's Fixed point theorem. We also define and study the Ulam-Hyers stability and the Ulam-Hyers-Rassias stability of mentioned problem. An example is presented to illustrate the main results.