Positive Solutions of a Generalized Nonautonomous Fractional Differential System

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...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2022-01, Vol.2022 (1)
Main Authors: Abdo, Mohammed S., Zahran, Heba Y., Yousef, El Sayed, Mahmoud, Emad E., Abdel-Aty, Abdel-Haleem
Format: Article
Language:English
Subjects:
Banach spaces
Differential equations
Fixed points (mathematics)
Fractional calculus
Mathematics
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Summary: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/8597779