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 fractionalpantograph differential equations with nonlocal boundary conditions. The uniqueness of solutions is es-tablished by Banach's fixed point theorem. We also define and study the Ulam-Hyers stability and theUlam-Hyers-Rassias stability of mentioned problem. An example is presented to illustrate the main results.