Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions
In this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point theorems. The existence of solutions is proved us...
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AIMS Press
2024-09-01
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| author | Ugyen Samdrup Tshering Ekkarath Thailert Sotiris K. Ntouyas |
| author_facet | Ugyen Samdrup Tshering Ekkarath Thailert Sotiris K. Ntouyas |
| author_sort | Ugyen Samdrup Tshering |
| collection | DOAJ |
| description | In this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point theorems. The existence of solutions is proved using Krasnoselskii's fixed point theorem, while the existence and uniqueness of solutions is established using the Banach fixed point theorem. We also discuss the stability of the problem in terms of Ulam-Hyers, Ulam-Hyers-Rassias, generalized Ulam-Hyers, and generalized Ulam-Hyers-Rassias stability. As an application, some examples are presented to illustrate our theoretical results. |
| format | Article |
| id | doaj-art-25e5bbc8d4d043e686386817647277b7 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-25e5bbc8d4d043e686386817647277b72025-08-20T01:54:40ZengAIMS PressAIMS Mathematics2473-69882024-09-0199258492587810.3934/math.20241263Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditionsUgyen Samdrup Tshering0Ekkarath Thailert1Sotiris K. Ntouyas 21. Department of Mathematics, Royal University of Bhutan, Bhutan2. Department of Mathematics, Naresuan University, Phitsanulok 65000, Thailand 3. Research Center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok 65000, Thailand4. Department of Mathematics, University of Ioannina, Ioannina 45110, GreeceIn this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point theorems. The existence of solutions is proved using Krasnoselskii's fixed point theorem, while the existence and uniqueness of solutions is established using the Banach fixed point theorem. We also discuss the stability of the problem in terms of Ulam-Hyers, Ulam-Hyers-Rassias, generalized Ulam-Hyers, and generalized Ulam-Hyers-Rassias stability. As an application, some examples are presented to illustrate our theoretical results.https://aimspress.com/article/doi/10.3934/math.20241263?viewType=HTMLfractional differential equationshilfer-hadamard fractional derivativeboundary value problemsfixed point theoryulam-hyers-rassias stability |
| spellingShingle | Ugyen Samdrup Tshering Ekkarath Thailert Sotiris K. Ntouyas Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions AIMS Mathematics fractional differential equations hilfer-hadamard fractional derivative boundary value problems fixed point theory ulam-hyers-rassias stability |
| title | Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions |
| title_full | Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions |
| title_fullStr | Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions |
| title_full_unstemmed | Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions |
| title_short | Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions |
| title_sort | existence and stability results for a coupled system of hilfer hadamard sequential fractional differential equations with multi point fractional integral boundary conditions |
| topic | fractional differential equations hilfer-hadamard fractional derivative boundary value problems fixed point theory ulam-hyers-rassias stability |
| url | https://aimspress.com/article/doi/10.3934/math.20241263?viewType=HTML |
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