Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems
In this paper, we studied the existence results for solutions of a new class of the fractional boundary value problem in the Caputo–Hadamard settings. Moreover, boundary conditions of this fractional problem were formulated as the mixed multi-order Hadamard integro-derivative conditions. To prove th...
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MDPI AG
2021-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/7/719 |
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| author | Shahram Rezapour Salim Ben Chikh Abdelkader Amara Sotiris K. Ntouyas Jessada Tariboon Sina Etemad |
| author_facet | Shahram Rezapour Salim Ben Chikh Abdelkader Amara Sotiris K. Ntouyas Jessada Tariboon Sina Etemad |
| author_sort | Shahram Rezapour |
| collection | DOAJ |
| description | In this paper, we studied the existence results for solutions of a new class of the fractional boundary value problem in the Caputo–Hadamard settings. Moreover, boundary conditions of this fractional problem were formulated as the mixed multi-order Hadamard integro-derivative conditions. To prove the main existence results, we applied two well-known techniques in the topological degree and fixed point theories. Finally, we provide two examples to show the compatibility of our theoretical findings. |
| first_indexed | 2024-03-10T12:53:36Z |
| format | Article |
| id | doaj.art-c70c080ddaf54c54a8b4abf1ee770d15 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T12:53:36Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c70c080ddaf54c54a8b4abf1ee770d152023-11-21T12:06:59ZengMDPI AGMathematics2227-73902021-03-019771910.3390/math9070719Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value ProblemsShahram Rezapour0Salim Ben Chikh1Abdelkader Amara2Sotiris K. Ntouyas3Jessada Tariboon4Sina Etemad5Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404, TaiwanLaboratory of Applied Mathematics, University of Kasdi Merbah Ouargla, Ouargla 30000, AlgeriaLaboratory of Applied Mathematics, University of Kasdi Merbah Ouargla, Ouargla 30000, AlgeriaDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz 51368, IranIn this paper, we studied the existence results for solutions of a new class of the fractional boundary value problem in the Caputo–Hadamard settings. Moreover, boundary conditions of this fractional problem were formulated as the mixed multi-order Hadamard integro-derivative conditions. To prove the main existence results, we applied two well-known techniques in the topological degree and fixed point theories. Finally, we provide two examples to show the compatibility of our theoretical findings.https://www.mdpi.com/2227-7390/9/7/719Caputo–Hadamard derivativecondensing functiontopological degree theoryfractional boundary value problem (FBVP) |
| spellingShingle | Shahram Rezapour Salim Ben Chikh Abdelkader Amara Sotiris K. Ntouyas Jessada Tariboon Sina Etemad Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems Mathematics Caputo–Hadamard derivative condensing function topological degree theory fractional boundary value problem (FBVP) |
| title | Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems |
| title_full | Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems |
| title_fullStr | Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems |
| title_full_unstemmed | Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems |
| title_short | Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems |
| title_sort | existence results for caputo hadamard nonlocal fractional multi order boundary value problems |
| topic | Caputo–Hadamard derivative condensing function topological degree theory fractional boundary value problem (FBVP) |
| url | https://www.mdpi.com/2227-7390/9/7/719 |
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