Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative
In this paper, we prove various existence results of a mild solution for a fractional nonlocal functional semilinear differential inclusion involving Caputo derivative in Banach spaces. We consider the case when the values of the orient field are convex as well as nonconvex. Moreover, we study the t...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2014-05-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1131 |
| _version_ | 1818419497819701248 |
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| author | Ahmed G. Ibrahim Noriah Almoulhim |
| author_facet | Ahmed G. Ibrahim Noriah Almoulhim |
| author_sort | Ahmed G. Ibrahim |
| collection | DOAJ |
| description | In this paper, we prove various existence results of a mild solution for a fractional nonlocal functional semilinear differential inclusion involving Caputo derivative in Banach spaces. We consider the case when the values of the orient field are convex as well as nonconvex. Moreover, we study the topological structure of solution sets. Our results extend or generalize results proved in recent papers.<br /><br /> |
| first_indexed | 2024-12-14T12:39:31Z |
| format | Article |
| id | doaj.art-197dcf6bc7b74c53a90d59e985327f72 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-14T12:39:31Z |
| publishDate | 2014-05-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-197dcf6bc7b74c53a90d59e985327f722022-12-21T23:00:57ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982014-05-01691125148885Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivativeAhmed G. IbrahimNoriah AlmoulhimIn this paper, we prove various existence results of a mild solution for a fractional nonlocal functional semilinear differential inclusion involving Caputo derivative in Banach spaces. We consider the case when the values of the orient field are convex as well as nonconvex. Moreover, we study the topological structure of solution sets. Our results extend or generalize results proved in recent papers.<br /><br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1131Fractional differential inclusionsemilinear functional differential inclusionsCaputo derivativecompact semigroupnonlocal conditionsmild solutions |
| spellingShingle | Ahmed G. Ibrahim Noriah Almoulhim Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative Le Matematiche Fractional differential inclusion semilinear functional differential inclusions Caputo derivative compact semigroup nonlocal conditions mild solutions |
| title | Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative |
| title_full | Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative |
| title_fullStr | Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative |
| title_full_unstemmed | Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative |
| title_short | Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative |
| title_sort | mild solutions for nonlocal fractional semilinear functional differential inclusions involving caputo derivative |
| topic | Fractional differential inclusion semilinear functional differential inclusions Caputo derivative compact semigroup nonlocal conditions mild solutions |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1131 |
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