Positive Solutions of a Generalized Nonautonomous Fractional Differential System

Mohammed S. Abdo, Heba Y. Zahran, El Sayed Yousef, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty and Melike Kaplan

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: In this work, we investigate the existence and uniqueness of positive solutions to a system of nonautonomous fractional differential equations. The fractional derivative of the system at hand is ψ- Riemann–Liouville fractional derivative. Some significant properties of this derivative that assist in the analysis of our results substantial are proved. The analysis is based on Guo-Krasnoselskii’s and Banach’s fixed point theorem. Finally, we give two examples to verify our results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8597779

DOI: 10.1155/2022/8597779

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