Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems
In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and integral boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/9/2/70 |
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| author | Bashir Ahmad Najla Alghamdi Ahmed Alsaedi Sotiris K. Ntouyas |
| author_facet | Bashir Ahmad Najla Alghamdi Ahmed Alsaedi Sotiris K. Ntouyas |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and integral boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples. |
| first_indexed | 2024-03-10T18:54:05Z |
| format | Article |
| id | doaj.art-391702161c0e400baa86df7d0aacaffd |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T18:54:05Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-391702161c0e400baa86df7d0aacaffd2023-11-20T04:52:22ZengMDPI AGAxioms2075-16802020-06-01927010.3390/axioms9020070Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value ProblemsBashir Ahmad0Najla Alghamdi1Ahmed Alsaedi2Sotiris K. Ntouyas3Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and integral boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples.https://www.mdpi.com/2075-1680/9/2/70caputo fractional derivativemulti-term fractional differential equationsexistencefixed point |
| spellingShingle | Bashir Ahmad Najla Alghamdi Ahmed Alsaedi Sotiris K. Ntouyas Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems Axioms caputo fractional derivative multi-term fractional differential equations existence fixed point |
| title | Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems |
| title_full | Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems |
| title_fullStr | Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems |
| title_full_unstemmed | Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems |
| title_short | Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems |
| title_sort | existence results for nonlocal multi point and multi term fractional order boundary value problems |
| topic | caputo fractional derivative multi-term fractional differential equations existence fixed point |
| url | https://www.mdpi.com/2075-1680/9/2/70 |
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