EXISTENCE AND UNIQUENESS SOLUTION FOR THREE-POINT HADAMARD-TYPE FRACTIONAL VOLTERRA BVP
In this paper we study the existence and uniqueness solution for a first kind fractional Volterra boundary value problem involving Hadamard type and three-point boundary conditions. Our analysis is based on Krasnoselskii-Zabreiko’s fixed point theorem and Banach contraction principle. As an applicat...
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| Format: | Article |
| Language: | English |
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Universitas Udayana
2022-01-01
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| Series: | E-Jurnal Matematika |
| Online Access: | https://ojs.unud.ac.id/index.php/mtk/article/view/79643 |
| _version_ | 1819283791119646720 |
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| author | FARAJ YACOOB ISHAK |
| author_facet | FARAJ YACOOB ISHAK |
| author_sort | FARAJ YACOOB ISHAK |
| collection | DOAJ |
| description | In this paper we study the existence and uniqueness solution for a first kind fractional Volterra boundary value problem involving Hadamard type and three-point boundary conditions. Our analysis is based on Krasnoselskii-Zabreiko’s fixed point theorem and Banach contraction principle. As an application we discuss a Hadamard type boundary value problem with fractional integral boundary conditions. We emphasize that our results are new in the context of Hadamard fractional calculus and are well illustrated with the aid of examples. |
| first_indexed | 2024-12-24T01:37:05Z |
| format | Article |
| id | doaj.art-4853b3074fee498699d9e5c07d41ed73 |
| institution | Directory Open Access Journal |
| issn | 2303-1751 |
| language | English |
| last_indexed | 2024-12-24T01:37:05Z |
| publishDate | 2022-01-01 |
| publisher | Universitas Udayana |
| record_format | Article |
| series | E-Jurnal Matematika |
| spelling | doaj.art-4853b3074fee498699d9e5c07d41ed732022-12-21T17:22:08ZengUniversitas UdayanaE-Jurnal Matematika2303-17512022-01-01111707810.24843/MTK.2022.v11.i01.p36379643EXISTENCE AND UNIQUENESS SOLUTION FOR THREE-POINT HADAMARD-TYPE FRACTIONAL VOLTERRA BVPFARAJ YACOOB ISHAK0University of DuhokIn this paper we study the existence and uniqueness solution for a first kind fractional Volterra boundary value problem involving Hadamard type and three-point boundary conditions. Our analysis is based on Krasnoselskii-Zabreiko’s fixed point theorem and Banach contraction principle. As an application we discuss a Hadamard type boundary value problem with fractional integral boundary conditions. We emphasize that our results are new in the context of Hadamard fractional calculus and are well illustrated with the aid of examples.https://ojs.unud.ac.id/index.php/mtk/article/view/79643 |
| spellingShingle | FARAJ YACOOB ISHAK EXISTENCE AND UNIQUENESS SOLUTION FOR THREE-POINT HADAMARD-TYPE FRACTIONAL VOLTERRA BVP E-Jurnal Matematika |
| title | EXISTENCE AND UNIQUENESS SOLUTION FOR THREE-POINT HADAMARD-TYPE FRACTIONAL VOLTERRA BVP |
| title_full | EXISTENCE AND UNIQUENESS SOLUTION FOR THREE-POINT HADAMARD-TYPE FRACTIONAL VOLTERRA BVP |
| title_fullStr | EXISTENCE AND UNIQUENESS SOLUTION FOR THREE-POINT HADAMARD-TYPE FRACTIONAL VOLTERRA BVP |
| title_full_unstemmed | EXISTENCE AND UNIQUENESS SOLUTION FOR THREE-POINT HADAMARD-TYPE FRACTIONAL VOLTERRA BVP |
| title_short | EXISTENCE AND UNIQUENESS SOLUTION FOR THREE-POINT HADAMARD-TYPE FRACTIONAL VOLTERRA BVP |
| title_sort | existence and uniqueness solution for three point hadamard type fractional volterra bvp |
| url | https://ojs.unud.ac.id/index.php/mtk/article/view/79643 |
| work_keys_str_mv | AT farajyacoobishak existenceanduniquenesssolutionforthreepointhadamardtypefractionalvolterrabvp |