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 es-
tablished 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.

Keywords

• Caputo derivative
• fixed point
• existence
• pantograph equations
• Ulam stability

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