Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators
This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space. The results of the existence derived using the tools of topological degree theory for cond...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2024-10-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_715201_8fb4f38a16a955d2b9cff8c681a70978.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823859321806520320 |
|---|---|
| author | Walid Benhadda Abderrazak Kassidi Ali El Mfadel Elomari M'hamed |
| author_facet | Walid Benhadda Abderrazak Kassidi Ali El Mfadel Elomari M'hamed |
| author_sort | Walid Benhadda |
| collection | DOAJ |
| description | This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space. The results of the existence derived using the tools of topological degree theory for condensing maps and the Banach contraction principle. An illustrative example is given at the end to demonstrate the practical application of the theoretical results. |
| format | Article |
| id | doaj-art-5a0af1d298104561b3ac30fb06941a62 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-5a0af1d298104561b3ac30fb06941a622025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-0121413715310.22130/scma.2024.2022259.1607715201Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian OperatorsWalid Benhadda0Abderrazak Kassidi1Ali El Mfadel2Elomari M'hamed3Laboratory of Applied Mathematics and Scientific Computing\\Sultan Moulay Slimane University, Beni Mellal, Morocco.Laboratory of Applied Mathematics and Scientific Computing\\Sultan Moulay Slimane University, Beni Mellal, Morocco.Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, Beni Mellal, Morocco.Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, Beni Mellal, Morocco.This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space. The results of the existence derived using the tools of topological degree theory for condensing maps and the Banach contraction principle. An illustrative example is given at the end to demonstrate the practical application of the theoretical results.https://scma.maragheh.ac.ir/article_715201_8fb4f38a16a955d2b9cff8c681a70978.pdfξ-caputo fractional derivativemeasures of noncompactnessp-laplacian operatortopological degree theorem |
| spellingShingle | Walid Benhadda Abderrazak Kassidi Ali El Mfadel Elomari M'hamed Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators Sahand Communications in Mathematical Analysis ξ-caputo fractional derivative measures of noncompactness p-laplacian operator topological degree theorem |
| title | Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators |
| title_full | Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators |
| title_fullStr | Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators |
| title_full_unstemmed | Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators |
| title_short | Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators |
| title_sort | existence results for an implicit coupled system involving xi caputo and p laplacian operators |
| topic | ξ-caputo fractional derivative measures of noncompactness p-laplacian operator topological degree theorem |
| url | https://scma.maragheh.ac.ir/article_715201_8fb4f38a16a955d2b9cff8c681a70978.pdf |
| work_keys_str_mv | AT walidbenhadda existenceresultsforanimplicitcoupledsysteminvolvingxicaputoandplaplacianoperators AT abderrazakkassidi existenceresultsforanimplicitcoupledsysteminvolvingxicaputoandplaplacianoperators AT alielmfadel existenceresultsforanimplicitcoupledsysteminvolvingxicaputoandplaplacianoperators AT elomarimhamed existenceresultsforanimplicitcoupledsysteminvolvingxicaputoandplaplacianoperators |