Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives
This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. The primary objective is to establish the existence of solutions under specific assumptions. W...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_712438_7fe800a8467458d73a27aa56a9e8c0dc.pdf |
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| _version_ | 1823859366909968384 |
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| author | Takieddine Zeghida Rabah Khaldi Assia Guezane-Lakoud |
| author_facet | Takieddine Zeghida Rabah Khaldi Assia Guezane-Lakoud |
| author_sort | Takieddine Zeghida |
| collection | DOAJ |
| description | This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. The primary objective is to establish the existence of solutions under specific assumptions. We use Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative to achieve this goal. Furthermore, numerical examples are presented and plotted to demonstrate the effectiveness of the obtained results. |
| format | Article |
| id | doaj-art-f37d40552a3245fc92eac5cbeece9274 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-f37d40552a3245fc92eac5cbeece92742025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121330132210.22130/scma.2024.2006083.1394712438Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional DerivativesTakieddine Zeghida0Rabah Khaldi1Assia Guezane-Lakoud2Department of Mathematics, Faculty of Science, University Badji Mokhtar Annaba, 23000 , Annaba, Algeria.Department of Mathematics, Faculty of Science, University Badji Mokhtar Annaba, 23000 , Annaba, Algeria.Department of Mathematics, Faculty of Science, University Badji Mokhtar Annaba, 23000 , Annaba, Algeria.This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. The primary objective is to establish the existence of solutions under specific assumptions. We use Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative to achieve this goal. Furthermore, numerical examples are presented and plotted to demonstrate the effectiveness of the obtained results.https://scma.maragheh.ac.ir/article_712438_7fe800a8467458d73a27aa56a9e8c0dc.pdfexistence of solutionsfixed point theoremriesz-caputo |
| spellingShingle | Takieddine Zeghida Rabah Khaldi Assia Guezane-Lakoud Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives Sahand Communications in Mathematical Analysis existence of solutions fixed point theorem riesz-caputo |
| title | Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives |
| title_full | Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives |
| title_fullStr | Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives |
| title_full_unstemmed | Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives |
| title_short | Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives |
| title_sort | existence analysis of multi point boundary value problems with riesz caputo fractional derivatives |
| topic | existence of solutions fixed point theorem riesz-caputo |
| url | https://scma.maragheh.ac.ir/article_712438_7fe800a8467458d73a27aa56a9e8c0dc.pdf |
| work_keys_str_mv | AT takieddinezeghida existenceanalysisofmultipointboundaryvalueproblemswithrieszcaputofractionalderivatives AT rabahkhaldi existenceanalysisofmultipointboundaryvalueproblemswithrieszcaputofractionalderivatives AT assiaguezanelakoud existenceanalysisofmultipointboundaryvalueproblemswithrieszcaputofractionalderivatives |