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

Year 2022, Volume: 5 Issue: 1, 29 - 41, 31.03.2022

Houas Mohamed

https://doi.org/10.53006/rna.928654

Cited By: 8

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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