On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative
In this article, we employ Mawhin's theory of degree of coincidence to provide an existence result for a class of problems involving non-linear implicit fractional differential equations with the exponentially fractional derivative of Caputo. Two examples are provided to demonstrate the applica...
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| Format: | Article |
| Language: | English |
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ATNAA
2023-03-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://atnaea.org/index.php/journal/article/view/22/22 |
| _version_ | 1797248598826549248 |
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| author | Mohamed CHOHRİ Soufyane BOURİAH Salim ABDELKRİM Mouffak BENCHOHRA |
| author_facet | Mohamed CHOHRİ Soufyane BOURİAH Salim ABDELKRİM Mouffak BENCHOHRA |
| author_sort | Mohamed CHOHRİ |
| collection | DOAJ |
| description | In this article, we employ Mawhin's theory of degree of coincidence to provide an existence result for a class of problems involving non-linear implicit fractional differential equations with the exponentially fractional derivative of Caputo. Two examples are provided to demonstrate the applicability of our results.
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| first_indexed | 2024-04-24T20:17:08Z |
| format | Article |
| id | doaj.art-28f88d41073d4fb39acddb3c0fb7ff06 |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-24T20:17:08Z |
| publishDate | 2023-03-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-28f88d41073d4fb39acddb3c0fb7ff062024-03-22T15:48:06ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482023-03-0171103120https://doi.org/10.31197/atnaa.1130743On Nonlinear Periodic Problems with Caputo's Exponential Fractional DerivativeMohamed CHOHRİ0Soufyane BOURİAH1Salim ABDELKRİM2Mouffak BENCHOHRA3University of Oran 1 Ahmed Ben Bella, AlgeriaUniversity Hassiba Benbouali Chlef, AlgeriaUniversity of Sidi Bel-Abbes, AlgeriaUniversity of Sidi Bel-Abbes, AlgeriaIn this article, we employ Mawhin's theory of degree of coincidence to provide an existence result for a class of problems involving non-linear implicit fractional differential equations with the exponentially fractional derivative of Caputo. Two examples are provided to demonstrate the applicability of our results. https://atnaea.org/index.php/journal/article/view/22/22caputoimplicit fractional differential equationsfractional integralexistencecoincidence degree theory |
| spellingShingle | Mohamed CHOHRİ Soufyane BOURİAH Salim ABDELKRİM Mouffak BENCHOHRA On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative Advances in the Theory of Nonlinear Analysis and its Applications caputo implicit fractional differential equations fractional integral existence coincidence degree theory |
| title | On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative |
| title_full | On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative |
| title_fullStr | On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative |
| title_full_unstemmed | On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative |
| title_short | On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative |
| title_sort | on nonlinear periodic problems with caputo s exponential fractional derivative |
| topic | caputo implicit fractional differential equations fractional integral existence coincidence degree theory |
| url | https://atnaea.org/index.php/journal/article/view/22/22 |
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