Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces
This manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α−φ-Geraghty type contraction and the fixed point theory. We express an illustrative example.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5535178 |
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| _version_ | 1841524559022391296 |
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| author | Salim Krim Saïd Abbas Mouffak Benchohra Erdal Karapinar |
| author_facet | Salim Krim Saïd Abbas Mouffak Benchohra Erdal Karapinar |
| author_sort | Salim Krim |
| collection | DOAJ |
| description | This manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α−φ-Geraghty type contraction and the fixed point theory. We express an illustrative example. |
| format | Article |
| id | doaj-art-94f70e7ce8a84b4fbb3b02ce6261e0f1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-94f70e7ce8a84b4fbb3b02ce6261e0f12025-02-03T05:52:57ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55351785535178Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric SpacesSalim Krim0Saïd Abbas1Mouffak Benchohra2Erdal Karapinar3Laboratory of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, AlgeriaLaboratory of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, AlgeriaLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89, Sidi Bel-Abbes 22000, AlgeriaDivision of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, VietnamThis manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α−φ-Geraghty type contraction and the fixed point theory. We express an illustrative example.http://dx.doi.org/10.1155/2021/5535178 |
| spellingShingle | Salim Krim Saïd Abbas Mouffak Benchohra Erdal Karapinar Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces Journal of Function Spaces |
| title | Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces |
| title_full | Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces |
| title_fullStr | Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces |
| title_full_unstemmed | Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces |
| title_short | Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces |
| title_sort | terminal value problem for implicit katugampola fractional differential equations in b metric spaces |
| url | http://dx.doi.org/10.1155/2021/5535178 |
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