Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations
In this article, we prove some new uniqueness and Ulam-Hyers stability results of a nonlinear generalized fractional integro-differential equation in the frame of Caputo derivative involving a new kernel in terms of another function ψ. Our approach is based on Babenko’s technique, Banach’s fixed poi...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8103046 |
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| _version_ | 1832550907397537792 |
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| author | Saeed M. Ali Wasfi Shatanawi Mohammed D. Kassim Mohammed S. Abdo S. Saleh |
| author_facet | Saeed M. Ali Wasfi Shatanawi Mohammed D. Kassim Mohammed S. Abdo S. Saleh |
| author_sort | Saeed M. Ali |
| collection | DOAJ |
| description | In this article, we prove some new uniqueness and Ulam-Hyers stability results of a nonlinear generalized fractional integro-differential equation in the frame of Caputo derivative involving a new kernel in terms of another function ψ. Our approach is based on Babenko’s technique, Banach’s fixed point theorem, and Banach’s space of absolutely continuous functions. The obtained results are demonstrated by constructing numerical examples. |
| format | Article |
| id | doaj-art-5fca73bab69242049df2e49eb2ea5cb8 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5fca73bab69242049df2e49eb2ea5cb82025-02-03T06:05:32ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8103046Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential EquationsSaeed M. Ali0Wasfi Shatanawi1Mohammed D. Kassim2Mohammed S. Abdo3S. Saleh4Department of Basic Engineering SciencesDepartment of Mathematics and General SciencesDepartment of Basic Engineering SciencesDepartment of MathematicsDepartment of MathematicsIn this article, we prove some new uniqueness and Ulam-Hyers stability results of a nonlinear generalized fractional integro-differential equation in the frame of Caputo derivative involving a new kernel in terms of another function ψ. Our approach is based on Babenko’s technique, Banach’s fixed point theorem, and Banach’s space of absolutely continuous functions. The obtained results are demonstrated by constructing numerical examples.http://dx.doi.org/10.1155/2022/8103046 |
| spellingShingle | Saeed M. Ali Wasfi Shatanawi Mohammed D. Kassim Mohammed S. Abdo S. Saleh Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations Journal of Function Spaces |
| title | Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations |
| title_full | Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations |
| title_fullStr | Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations |
| title_full_unstemmed | Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations |
| title_short | Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations |
| title_sort | investigating a class of generalized caputo type fractional integro differential equations |
| url | http://dx.doi.org/10.1155/2022/8103046 |
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