Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative
This paper is devoted to the investigation of a kind of generalized Caputo semilinear fractional differential inclusions with deviated-advanced nonlocal conditions. Solvability of the problem is established by means of the Leray-Schauder’s alternative approach with the help of the Lagrange mean-valu...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/2917306 |
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| _version_ | 1832567466938597376 |
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| author | Tamer Nabil |
| author_facet | Tamer Nabil |
| author_sort | Tamer Nabil |
| collection | DOAJ |
| description | This paper is devoted to the investigation of a kind of generalized Caputo semilinear fractional differential inclusions with deviated-advanced nonlocal conditions. Solvability of the problem is established by means of the Leray-Schauder’s alternative approach with the help of the Lagrange mean-value classical theorem. Finally, some examples are given to delineate the efficient of theoretical results. |
| format | Article |
| id | doaj-art-a3524aec12e74f828150e8c10d132b0d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a3524aec12e74f828150e8c10d132b0d2025-02-03T01:01:24ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/29173062917306Solvability of Fractional Differential Inclusion with a Generalized Caputo DerivativeTamer Nabil0College of Science, Department of Mathematics, King Khalid University, P.O. Box: 9004, 61413 Abha, Saudi ArabiaThis paper is devoted to the investigation of a kind of generalized Caputo semilinear fractional differential inclusions with deviated-advanced nonlocal conditions. Solvability of the problem is established by means of the Leray-Schauder’s alternative approach with the help of the Lagrange mean-value classical theorem. Finally, some examples are given to delineate the efficient of theoretical results.http://dx.doi.org/10.1155/2020/2917306 |
| spellingShingle | Tamer Nabil Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative Journal of Function Spaces |
| title | Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative |
| title_full | Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative |
| title_fullStr | Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative |
| title_full_unstemmed | Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative |
| title_short | Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative |
| title_sort | solvability of fractional differential inclusion with a generalized caputo derivative |
| url | http://dx.doi.org/10.1155/2020/2917306 |
| work_keys_str_mv | AT tamernabil solvabilityoffractionaldifferentialinclusionwithageneralizedcaputoderivative |