ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory
In this article, we discuss the existence and uniqueness of solutions to some nonlinear fractional differential equations involving the ψ–Caputo fractional derivative with multi-point boundary conditions. Our results rely on the technique of topological degree theory for condensing maps and the Bana...
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| Format: | Article |
| Language: | English |
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Erdal KARAPINAR
2020-12-01
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| Series: | Results in Nonlinear Analysis |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1062612 |
| _version_ | 1797910573960134656 |
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| author | Zidane Baitiche, Choukri Derbazi, Mouffak Benchohra |
| author_facet | Zidane Baitiche, Choukri Derbazi, Mouffak Benchohra |
| author_sort | Zidane Baitiche, Choukri Derbazi, Mouffak Benchohra |
| collection | DOAJ |
| description | In this article, we discuss the existence and uniqueness of solutions to some nonlinear fractional differential equations involving the ψ–Caputo fractional derivative with multi-point boundary conditions. Our results rely on the technique of topological degree theory for condensing maps and the Banach contraction principle. Also, two illustrative examples are presented to illustrate our main results. |
| first_indexed | 2024-04-10T11:27:35Z |
| format | Article |
| id | doaj.art-4cb629bfe8b3455386e0b6e4b3283870 |
| institution | Directory Open Access Journal |
| issn | 2636-7556 2636-7556 |
| language | English |
| last_indexed | 2024-04-10T11:27:35Z |
| publishDate | 2020-12-01 |
| publisher | Erdal KARAPINAR |
| record_format | Article |
| series | Results in Nonlinear Analysis |
| spelling | doaj.art-4cb629bfe8b3455386e0b6e4b32838702023-02-15T16:18:20ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562020-12-0134166178ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree TheoryZidane Baitiche, Choukri Derbazi, Mouffak BenchohraIn this article, we discuss the existence and uniqueness of solutions to some nonlinear fractional differential equations involving the ψ–Caputo fractional derivative with multi-point boundary conditions. Our results rely on the technique of topological degree theory for condensing maps and the Banach contraction principle. Also, two illustrative examples are presented to illustrate our main results.https://dergipark.org.tr/tr/download/article-file/1062612fractional differential equationsψ–caputo fractional derivativemulti-point boundary conditionsexistence uniqueness; topological degree theorycondensing map |
| spellingShingle | Zidane Baitiche, Choukri Derbazi, Mouffak Benchohra ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory Results in Nonlinear Analysis fractional differential equations ψ–caputo fractional derivative multi-point boundary conditions existence uniqueness ; topological degree theory condensing map |
| title | ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory |
| title_full | ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory |
| title_fullStr | ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory |
| title_full_unstemmed | ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory |
| title_short | ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory |
| title_sort | ψ caputo fractional differential equations with multi point boundary conditions by topological degree theory |
| topic | fractional differential equations ψ–caputo fractional derivative multi-point boundary conditions existence uniqueness ; topological degree theory condensing map |
| url | https://dergipark.org.tr/tr/download/article-file/1062612 |
| work_keys_str_mv | AT zidanebaitichechoukriderbazimouffakbenchohra pscaputofractionaldifferentialequationswithmultipointboundaryconditionsbytopologicaldegreetheory |