On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives
This work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the Riemann-Liouville type. By using the Schauder...
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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/10.1155/2022/4779213 |
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| _version_ | 1850222787524820992 |
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| author | M. I. Abbas M. Ghaderi Sh. Rezapour S. T. M. Thabet |
| author_facet | M. I. Abbas M. Ghaderi Sh. Rezapour S. T. M. Thabet |
| author_sort | M. I. Abbas |
| collection | DOAJ |
| description | This work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the Riemann-Liouville type. By using the Schauder and Banach fixed point theorems, we study the existence and uniqueness of solutions for the aforesaid system. Finally, we present an example to validate our theoretical outcomes. |
| format | Article |
| id | doaj-art-6e98ea26addf44acb808da1c4bc73b8a |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6e98ea26addf44acb808da1c4bc73b8a2025-08-20T02:06:12ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4779213On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional DerivativesM. I. Abbas0M. Ghaderi1Sh. Rezapour2S. T. M. Thabet3Department of Mathematics and Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the Riemann-Liouville type. By using the Schauder and Banach fixed point theorems, we study the existence and uniqueness of solutions for the aforesaid system. Finally, we present an example to validate our theoretical outcomes.http://dx.doi.org/10.1155/2022/4779213 |
| spellingShingle | M. I. Abbas M. Ghaderi Sh. Rezapour S. T. M. Thabet On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives Journal of Function Spaces |
| title | On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives |
| title_full | On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives |
| title_fullStr | On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives |
| title_full_unstemmed | On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives |
| title_short | On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives |
| title_sort | on a coupled system of fractional differential equations via the generalized proportional fractional derivatives |
| url | http://dx.doi.org/10.1155/2022/4779213 |
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