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

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

Divisions

MathematicalSciences

Funders

Bu-Ali Sina University

Publication Title

Journal of Inequalities and Applications

Volume

2022

Issue

1

Publisher

Springer

Publisher Location

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

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