Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem
In this study, we discuss the existence and the uniqueness of the solution to Caputo-Hadamard Cauchy problems for a system of fractional differential equations, by using Perov’s fixed point theorem. Finally, two examples are provided to illustrate our results.
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| Format: | Article |
| Language: | English |
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Sciendo
2025-01-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
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| Online Access: | https://doi.org/10.2478/awutm-2025-0001 |
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| _version_ | 1832570387821494272 |
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| author | Nouar Aziza Souad Nisse Khadidja Beloul Said |
| author_facet | Nouar Aziza Souad Nisse Khadidja Beloul Said |
| author_sort | Nouar Aziza Souad |
| collection | DOAJ |
| description | In this study, we discuss the existence and the uniqueness of the solution to Caputo-Hadamard Cauchy problems for a system of fractional differential equations, by using Perov’s fixed point theorem. Finally, two examples are provided to illustrate our results. |
| format | Article |
| id | doaj-art-d394644c2ec445baa6c3f2381bae4f58 |
| institution | Kabale University |
| issn | 1841-3307 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj-art-d394644c2ec445baa6c3f2381bae4f582025-02-02T15:47:39ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072025-01-0161111310.2478/awutm-2025-0001Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theoremNouar Aziza Souad0Nisse Khadidja1Beloul Said21Laboratory of Operators Theory and PDE “LABTHOP”, Department of Mathematics, Exact Sciences Faculty, University of El-Oued, P.O. Box 789, El Oued 39000, Algeria.2Laboratory of Operators Theory and PDE “LABTHOP”, Department of Mathematics, Exact Sciences Faculty, University of El-Oued, P.O. Box 789, El Oued 39000, Algeria.3Laboratory of Operators Theory and PDE “LABTHOP”, Department of Mathematics, Exact Sciences Faculty, University of El-Oued, P.O. Box 789, El Oued 39000, Algeria.In this study, we discuss the existence and the uniqueness of the solution to Caputo-Hadamard Cauchy problems for a system of fractional differential equations, by using Perov’s fixed point theorem. Finally, two examples are provided to illustrate our results.https://doi.org/10.2478/awutm-2025-0001caputo-hadamard derivativefractional differential equationsfixed point34a0834b1547h08 |
| spellingShingle | Nouar Aziza Souad Nisse Khadidja Beloul Said Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem Annals of the West University of Timisoara: Mathematics and Computer Science caputo-hadamard derivative fractional differential equations fixed point 34a08 34b15 47h08 |
| title | Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem |
| title_full | Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem |
| title_fullStr | Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem |
| title_full_unstemmed | Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem |
| title_short | Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem |
| title_sort | solving a system of caputo hadamard fractional differential equations via perov s fixed point theorem |
| topic | caputo-hadamard derivative fractional differential equations fixed point 34a08 34b15 47h08 |
| url | https://doi.org/10.2478/awutm-2025-0001 |
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