Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
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. Final...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2023 |
| Country: | España |
| Institution: | Universidad del País Vasco |
| Repository: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/60896 |
| Online Access: | http://hdl.handle.net/10810/60896 |
| Access Level: | Open access |
| Keyword: | fractional differential equation Atangana-Baleanu fractional operator fixed point methodology Riemann-Liouville fractional integral |
| Summary: | 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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