Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space
We discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders 2<α<3 involving the Caputo derivative. In order to obtain necessary conditions for the existence result, we apply the fixed point technique, fractional calculus, and multiv...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/426061 |
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| author | Mabrouk Bragdi Amar Debbouche Dumitru Baleanu |
| author_facet | Mabrouk Bragdi Amar Debbouche Dumitru Baleanu |
| author_sort | Mabrouk Bragdi |
| collection | DOAJ |
| description | We discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders 2<α<3 involving the Caputo derivative. In order to obtain necessary conditions for the existence result, we apply the fixed point technique, fractional calculus, and multivalued analysis. |
| format | Article |
| id | doaj-art-2f0a1e6b33b94645825f7145d56b6b0f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2f0a1e6b33b94645825f7145d56b6b0f2025-02-03T01:28:11ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/426061426061Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach SpaceMabrouk Bragdi0Amar Debbouche1Dumitru Baleanu2Department of Mathematics, Laboratory of Dynamical Systems and Control, Larbi Ben M'hidi University, P.O. Box 358, Oum El Bouaghi, AlgeriaDepartment of Mathematics, Guelma University, 24000 Guelma, AlgeriaDepartment of Mathematics and Computer Sciences, Cankaya University, 06530 Ankara, TurkeyWe discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders 2<α<3 involving the Caputo derivative. In order to obtain necessary conditions for the existence result, we apply the fixed point technique, fractional calculus, and multivalued analysis.http://dx.doi.org/10.1155/2013/426061 |
| spellingShingle | Mabrouk Bragdi Amar Debbouche Dumitru Baleanu Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space Advances in Mathematical Physics |
| title | Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space |
| title_full | Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space |
| title_fullStr | Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space |
| title_full_unstemmed | Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space |
| title_short | Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space |
| title_sort | existence of solutions for fractional differential inclusions with separated boundary conditions in banach space |
| url | http://dx.doi.org/10.1155/2013/426061 |
| work_keys_str_mv | AT mabroukbragdi existenceofsolutionsforfractionaldifferentialinclusionswithseparatedboundaryconditionsinbanachspace AT amardebbouche existenceofsolutionsforfractionaldifferentialinclusionswithseparatedboundaryconditionsinbanachspace AT dumitrubaleanu existenceofsolutionsforfractionaldifferentialinclusionswithseparatedboundaryconditionsinbanachspace |