Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions
Abstract In this paper, we study the existence and uniqueness of solutions for fractional differential equations with nonlocal and fractional integral boundary conditions. New existence and uniqueness results are established using the Banach contraction principle. Other existence results are obtaine...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-07-01
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| Series: | Arabian Journal of Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40065-020-00288-9 |
| _version_ | 1818658252864356352 |
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| author | Choukri Derbazi Hadda Hammouche |
| author_facet | Choukri Derbazi Hadda Hammouche |
| author_sort | Choukri Derbazi |
| collection | DOAJ |
| description | Abstract In this paper, we study the existence and uniqueness of solutions for fractional differential equations with nonlocal and fractional integral boundary conditions. New existence and uniqueness results are established using the Banach contraction principle. Other existence results are obtained using O’Regan fixed point theorem and Burton and Kirk fixed point. In addition, an example is given to demonstrate the application of our main results. |
| first_indexed | 2024-12-17T03:54:26Z |
| format | Article |
| id | doaj.art-b17f33c337ec4aba91a9eae6edcd466f |
| institution | Directory Open Access Journal |
| issn | 2193-5343 2193-5351 |
| language | English |
| last_indexed | 2024-12-17T03:54:26Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Arabian Journal of Mathematics |
| spelling | doaj.art-b17f33c337ec4aba91a9eae6edcd466f2022-12-21T22:04:39ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512020-07-019353154410.1007/s40065-020-00288-9Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditionsChoukri Derbazi0Hadda Hammouche1Laboratory of Mathematics and Applied Sciences, University of GhardaiaLaboratory of Mathematics and Applied Sciences, University of GhardaiaAbstract In this paper, we study the existence and uniqueness of solutions for fractional differential equations with nonlocal and fractional integral boundary conditions. New existence and uniqueness results are established using the Banach contraction principle. Other existence results are obtained using O’Regan fixed point theorem and Burton and Kirk fixed point. In addition, an example is given to demonstrate the application of our main results.https://doi.org/10.1007/s40065-020-00288-934A0826A33 |
| spellingShingle | Choukri Derbazi Hadda Hammouche Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions Arabian Journal of Mathematics 34A08 26A33 |
| title | Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions |
| title_full | Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions |
| title_fullStr | Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions |
| title_full_unstemmed | Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions |
| title_short | Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions |
| title_sort | boundary value problems for caputo fractional differential equations with nonlocal and fractional integral boundary conditions |
| topic | 34A08 26A33 |
| url | https://doi.org/10.1007/s40065-020-00288-9 |
| work_keys_str_mv | AT choukriderbazi boundaryvalueproblemsforcaputofractionaldifferentialequationswithnonlocalandfractionalintegralboundaryconditions AT haddahammouche boundaryvalueproblemsforcaputofractionaldifferentialequationswithnonlocalandfractionalintegralboundaryconditions |