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

Houas, Mohamed and Martinez, Francisco and Samei, Mohammad Esmael and Kaabar, Mohammed K. A. (2022) Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations. Journal of Inequalities and Applications, 2022 (1). ISSN 1029-242X, DOI https://doi.org/10.1186/s13660-022-02828-7.

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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.

Item Type: Article
Funders: Bu-Ali Sina University
Uncontrolled Keywords: Pantograph equations; Fractional pantograph q-differential equation; Uniqueness; Ulam-Hyers stability
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 20 Oct 2023 01:46
Last Modified: 20 Oct 2023 01:46
URI: http://eprints.um.edu.my/id/eprint/41860

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