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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8597779 |
| _version_ | 1798036221168975872 |
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| author | Mohammed S. Abdo Heba Y. Zahran El Sayed Yousef Emad E. Mahmoud Abdel-Haleem Abdel-Aty |
| author_facet | Mohammed S. Abdo Heba Y. Zahran El Sayed Yousef Emad E. Mahmoud Abdel-Haleem Abdel-Aty |
| author_sort | Mohammed S. Abdo |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T21:09:32Z |
| format | Article |
| id | doaj.art-4255dadff5314bbea074466c5d036f3c |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-11T21:09:32Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-4255dadff5314bbea074466c5d036f3c2022-12-22T04:03:04ZengHindawi LimitedJournal of Mathematics2314-47852022-01-01202210.1155/2022/8597779Positive Solutions of a Generalized Nonautonomous Fractional Differential SystemMohammed S. Abdo0Heba Y. Zahran1El Sayed Yousef2Emad E. Mahmoud3Abdel-Haleem Abdel-Aty4Department of MathematicsDepartment of PhysicsDepartment of PhysicsDepartment of Mathematics and StatisticsDepartment of PhysicsIn 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.http://dx.doi.org/10.1155/2022/8597779 |
| spellingShingle | Mohammed S. Abdo Heba Y. Zahran El Sayed Yousef Emad E. Mahmoud Abdel-Haleem Abdel-Aty Positive Solutions of a Generalized Nonautonomous Fractional Differential System Journal of Mathematics |
| title | Positive Solutions of a Generalized Nonautonomous Fractional Differential System |
| title_full | Positive Solutions of a Generalized Nonautonomous Fractional Differential System |
| title_fullStr | Positive Solutions of a Generalized Nonautonomous Fractional Differential System |
| title_full_unstemmed | Positive Solutions of a Generalized Nonautonomous Fractional Differential System |
| title_short | Positive Solutions of a Generalized Nonautonomous Fractional Differential System |
| title_sort | positive solutions of a generalized nonautonomous fractional differential system |
| url | http://dx.doi.org/10.1155/2022/8597779 |
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