Perturbed functional fractional differential equation of Caputo-Hadamard order
In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative. Our analysis relies on the fixed point theorem of Burton and Kirk and the concept of upper and lower...
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| Format: | Article |
| Language: | English |
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University of Kragujevac, Faculty of Technical Sciences Čačak
2024-01-01
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| Series: | Mathematica Moravica |
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| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401017H.pdf |
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| author | Hamani Samira |
| author_facet | Hamani Samira |
| author_sort | Hamani Samira |
| collection | DOAJ |
| description | In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative. Our analysis relies on the fixed point theorem of Burton and Kirk and the concept of upper and lower solutions combined with a fixed point theorem in ordered Banach space established by Dhage and Henderson. |
| format | Article |
| id | doaj-art-e9934c7c6ea5441184d068adbc624260 |
| institution | OA Journals |
| issn | 1450-5932 2560-5542 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | University of Kragujevac, Faculty of Technical Sciences Čačak |
| record_format | Article |
| series | Mathematica Moravica |
| spelling | doaj-art-e9934c7c6ea5441184d068adbc6242602025-08-20T02:23:36ZengUniversity of Kragujevac, Faculty of Technical Sciences ČačakMathematica Moravica1450-59322560-55422024-01-01281172810.5937/MatMor2401017H1450-59322401017HPerturbed functional fractional differential equation of Caputo-Hadamard orderHamani Samira0Université de Mostaganem, Laboratoire des Mathematiques Pures et Appliqués, Mostaganem, AlgerieIn this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative. Our analysis relies on the fixed point theorem of Burton and Kirk and the concept of upper and lower solutions combined with a fixed point theorem in ordered Banach space established by Dhage and Henderson.https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401017H.pdffractional differential equationcaputo-hadamard fractional derivativesfixed pointextremal solutions |
| spellingShingle | Hamani Samira Perturbed functional fractional differential equation of Caputo-Hadamard order Mathematica Moravica fractional differential equation caputo-hadamard fractional derivatives fixed point extremal solutions |
| title | Perturbed functional fractional differential equation of Caputo-Hadamard order |
| title_full | Perturbed functional fractional differential equation of Caputo-Hadamard order |
| title_fullStr | Perturbed functional fractional differential equation of Caputo-Hadamard order |
| title_full_unstemmed | Perturbed functional fractional differential equation of Caputo-Hadamard order |
| title_short | Perturbed functional fractional differential equation of Caputo-Hadamard order |
| title_sort | perturbed functional fractional differential equation of caputo hadamard order |
| topic | fractional differential equation caputo-hadamard fractional derivatives fixed point extremal solutions |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401017H.pdf |
| work_keys_str_mv | AT hamanisamira perturbedfunctionalfractionaldifferentialequationofcaputohadamardorder |