Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative
In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guara...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/9285686 |
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| _version_ | 1850216331946754048 |
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| author | Manzoor Ahmad Jiqiang Jiang Akbar Zada Syed Omar Shah Jiafa Xu |
| author_facet | Manzoor Ahmad Jiqiang Jiang Akbar Zada Syed Omar Shah Jiafa Xu |
| author_sort | Manzoor Ahmad |
| collection | DOAJ |
| description | In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guarantee that the solutions to our considered system are Hyers–Ulam stable. We also provided an example that explains our results. |
| format | Article |
| id | doaj-art-3e409db3bbda44e0a70fb46a7dd5d770 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3e409db3bbda44e0a70fb46a7dd5d7702025-08-20T02:08:20ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/92856869285686Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional DerivativeManzoor Ahmad0Jiqiang Jiang1Akbar Zada2Syed Omar Shah3Jiafa Xu4Department of Mathematics, University of Peshawar, Peshawar 25000, PakistanSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Physical and Numerical Sciences, Qurtuba University of Science and Information Technology, Peshawar 25000, PakistanSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaIn this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guarantee that the solutions to our considered system are Hyers–Ulam stable. We also provided an example that explains our results.http://dx.doi.org/10.1155/2020/9285686 |
| spellingShingle | Manzoor Ahmad Jiqiang Jiang Akbar Zada Syed Omar Shah Jiafa Xu Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative Complexity |
| title | Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative |
| title_full | Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative |
| title_fullStr | Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative |
| title_full_unstemmed | Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative |
| title_short | Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola–Caputo Fractional Derivative |
| title_sort | analysis of coupled system of implicit fractional differential equations involving katugampola caputo fractional derivative |
| url | http://dx.doi.org/10.1155/2020/9285686 |
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