Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition
In this work, we prove the existence and uniqueness of mild solution of the fractional conformable Cauchy problem with nonlocal condition. We obtained these results by applying the fixed point theorems precisely to the fixed point theorem of Krasnoselskii and Banach’s fixed point theorem. At the end...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2022/6468278 |
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| _version_ | 1849395905972666368 |
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| author | Khalid Hilal Ahmed Kajouni Najat Chefnaj |
| author_facet | Khalid Hilal Ahmed Kajouni Najat Chefnaj |
| author_sort | Khalid Hilal |
| collection | DOAJ |
| description | In this work, we prove the existence and uniqueness of mild solution of the fractional conformable Cauchy problem with nonlocal condition. We obtained these results by applying the fixed point theorems precisely to the fixed point theorem of Krasnoselskii and Banach’s fixed point theorem. At the end, we provide application. |
| format | Article |
| id | doaj-art-b706b72a3ab54c4e95fe14d1964008fc |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-b706b72a3ab54c4e95fe14d1964008fc2025-08-20T03:39:28ZengWileyInternational Journal of Differential Equations1687-96512022-01-01202210.1155/2022/6468278Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal ConditionKhalid Hilal0Ahmed Kajouni1Najat Chefnaj2Laboratoire de Mathématiques Appliquées & Calcul ScientifiqueLaboratoire de Mathématiques Appliquées & Calcul ScientifiqueLaboratoire de Mathématiques Appliquées & Calcul ScientifiqueIn this work, we prove the existence and uniqueness of mild solution of the fractional conformable Cauchy problem with nonlocal condition. We obtained these results by applying the fixed point theorems precisely to the fixed point theorem of Krasnoselskii and Banach’s fixed point theorem. At the end, we provide application.http://dx.doi.org/10.1155/2022/6468278 |
| spellingShingle | Khalid Hilal Ahmed Kajouni Najat Chefnaj Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition International Journal of Differential Equations |
| title | Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition |
| title_full | Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition |
| title_fullStr | Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition |
| title_full_unstemmed | Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition |
| title_short | Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition |
| title_sort | existence of solution for a conformable fractional cauchy problem with nonlocal condition |
| url | http://dx.doi.org/10.1155/2022/6468278 |
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