Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems
This paper is concerned with the existence and uniqueness of solutions for a new class of boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented with nonlocal integro-multipoint boundary conditions. The existence of a unique solution is obtained via Ba...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/8031524 |
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| _version_ | 1832545959801782272 |
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| author | Chanon Promsakon Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Chanon Promsakon Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Chanon Promsakon |
| collection | DOAJ |
| description | This paper is concerned with the existence and uniqueness of solutions for a new class of boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented with nonlocal integro-multipoint boundary conditions. The existence of a unique solution is obtained via Banach contraction mapping principle, while the existence results are established by applying Schaefer and Krasnoselskii fixed point theorems as well as Leray-Schauder nonlinear alternative. Examples illustrating the main results are also constructed. |
| format | Article |
| id | doaj-art-f0b756cf5f72486e88bb504e60e12c88 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f0b756cf5f72486e88bb504e60e12c882025-02-03T07:24:16ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/8031524Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value ProblemsChanon Promsakon0Sotiris K. Ntouyas1Jessada Tariboon2Intelligent and Nonlinear Dynamic Innovations Research CenterDepartment of MathematicsIntelligent and Nonlinear Dynamic Innovations Research CenterThis paper is concerned with the existence and uniqueness of solutions for a new class of boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented with nonlocal integro-multipoint boundary conditions. The existence of a unique solution is obtained via Banach contraction mapping principle, while the existence results are established by applying Schaefer and Krasnoselskii fixed point theorems as well as Leray-Schauder nonlinear alternative. Examples illustrating the main results are also constructed.http://dx.doi.org/10.1155/2021/8031524 |
| spellingShingle | Chanon Promsakon Sotiris K. Ntouyas Jessada Tariboon Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems Journal of Function Spaces |
| title | Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems |
| title_full | Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems |
| title_fullStr | Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems |
| title_full_unstemmed | Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems |
| title_short | Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems |
| title_sort | hilfer hadamard nonlocal integro multipoint fractional boundary value problems |
| url | http://dx.doi.org/10.1155/2021/8031524 |
| work_keys_str_mv | AT chanonpromsakon hilferhadamardnonlocalintegromultipointfractionalboundaryvalueproblems AT sotiriskntouyas hilferhadamardnonlocalintegromultipointfractionalboundaryvalueproblems AT jessadatariboon hilferhadamardnonlocalintegromultipointfractionalboundaryvalueproblems |