Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations

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Date
2023-02
Author
Hammad, Hasanen A. ORCID
Işık, Hüseyin
Aydi, Hassen
De la Sen Parte, Manuel ORCID
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AIMS Mathematics 8(4) : 8633-8649 (2023)
URI
http://hdl.handle.net/10810/60896
Abstract
The goal of this paper is to present a new class of contraction mappings, so-called -contractions. Also, in the context of partially ordered metric spaces, some coupled fixed-point results for -contraction mappings are introduced. Furthermore, to support our results, two examples are provided. Finally, the theoretical results are applied to obtain the existence of solutions to coupled fractional differential equations with a Mittag-Leffler kernel.
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© 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
Except where otherwise noted, this item's license is described as © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)