Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations
In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall’s inequality to show the estimate of the solu...
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| Format: | Article |
| Language: | English |
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Erdal KARAPINAR
2019-11-01
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| Series: | Results in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/860930 |
| _version_ | 1797913748185284608 |
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| author | Abdelouaheb Ardjouni, Ahcene Djoudi |
| author_facet | Abdelouaheb Ardjouni, Ahcene Djoudi |
| author_sort | Abdelouaheb Ardjouni, Ahcene Djoudi |
| collection | DOAJ |
| description | In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall’s inequality to show the estimate of the solutions. |
| first_indexed | 2024-04-10T12:16:37Z |
| format | Article |
| id | doaj.art-47b6da6151c74be9960ddb82fc4fb87d |
| institution | Directory Open Access Journal |
| issn | 2636-7556 2636-7556 |
| language | English |
| last_indexed | 2024-04-10T12:16:37Z |
| publishDate | 2019-11-01 |
| publisher | Erdal KARAPINAR |
| record_format | Article |
| series | Results in Nonlinear Analysis |
| spelling | doaj.art-47b6da6151c74be9960ddb82fc4fb87d2023-02-15T16:15:42ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562019-11-0123136142Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equationsAbdelouaheb Ardjouni, Ahcene DjoudiIn this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall’s inequality to show the estimate of the solutions.https://dergipark.org.tr/en/download/article-file/860930implicit fractional differential equationscaputo-hadamard fractional derivativesfixed point theoremsexistence uniqueness |
| spellingShingle | Abdelouaheb Ardjouni, Ahcene Djoudi Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations Results in Nonlinear Analysis implicit fractional differential equations caputo-hadamard fractional derivatives fixed point theorems existence uniqueness |
| title | Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations |
| title_full | Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations |
| title_fullStr | Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations |
| title_full_unstemmed | Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations |
| title_short | Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations |
| title_sort | existence and uniqueness of solutions for nonlinear hybrid implicit caputo hadamard fractional differential equations |
| topic | implicit fractional differential equations caputo-hadamard fractional derivatives fixed point theorems existence uniqueness |
| url | https://dergipark.org.tr/en/download/article-file/860930 |
| work_keys_str_mv | AT abdelouahebardjouniahcenedjoudi existenceanduniquenessofsolutionsfornonlinearhybridimplicitcaputohadamardfractionaldifferentialequations |