Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations

Authors

• Mohamed Houas
• Francisco Martinez
• Mohammad Esmael Samei
• Mohammed K. A. Kaabar

Document Type

Article

Publication Date

7-18-2022

Abstract

We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach's contraction mapping principle. Further, we define and study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of solutions. We also discuss an illustrative example.

Keywords

Pantograph equations, Fractional pantograph q-differential equation, Uniqueness, Ulam-Hyers stability

Publication Title

Journal of Inequalities and Applications

Recommended Citation

Houas, Mohamed; Martinez, Francisco; Samei, Mohammad Esmael; and Kaabar, Mohammed K. A., "Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations" (2022). Research Publications (2021 to 2025). 712.
https://knova.um.edu.my/research_publications_2021_2025/712

Divisions

MathematicalSciences

Funders

Bu-Ali Sina University

Volume

2022

Issue

1

Publisher

Springer

Publisher Location

ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES