Applications of Krasnoselskii-Dhage Type Fixed-Point Theorems to Fractional Hybrid Differential Equations

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Published: Apr 29, 2021
DOI: https://doi.org/10.5556/j.tkjm.52.2021.3330
Keywords:
fi xed-point theorem, Riemann- Liouville fractional derivative, hybrid initial value problem.

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Habibulla Akhadkulov
Universiti Utara Malaysia
https://orcid.org/0000-0002-0377-7486
Fahad Alsharari
College of Science and Human Studies at Hotat Sudair, P.O. Pox: 544, 11982, Hotat Sudair, Majmaah University
Teh Yuan Ying
School of Quantitative Sciences, University Utara Malaysia

Abstract




In this paper, we prove the existence of a solution of a fractional hybrid differential equation involving the Riemann-Liouville differential and integral operators by utilizing a new version of Kransoselskii-Dhage type fixed-point theorem obtained in [13]. Moreover, we provide an example to support our result.




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How to Cite
Akhadkulov, H., Alsharari, F., & Ying, T. Y. (2021). Applications of Krasnoselskii-Dhage Type Fixed-Point Theorems to Fractional Hybrid Differential Equations. Tamkang Journal of Mathematics, 52(2), 281–292. https://doi.org/10.5556/j.tkjm.52.2021.3330
Issue
Vol. 52 No. 2 (2021)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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