Caputo fractional $q$-difference equations in Banach spaces
This paper aims to explore the existence results of a certain type of Caputo fractional qq-difference equations in Banach spaces. To achieve this goal, we employ a fixed point theorem that relies on the concept of measure of noncompactness and the convex-power condensing operator. We give an illust...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2023-04-01
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| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/67 |
| _version_ | 1797835971407904768 |
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| author | Abdelkrim Salim Said Abbas Mouffak Benchohra Jamal Eddine Lazreg |
| author_facet | Abdelkrim Salim Said Abbas Mouffak Benchohra Jamal Eddine Lazreg |
| author_sort | Abdelkrim Salim |
| collection | DOAJ |
| description |
This paper aims to explore the existence results of a certain type of Caputo fractional qq-difference equations in Banach spaces. To achieve this goal, we employ a fixed point theorem that relies on the concept of measure of noncompactness and the convex-power condensing operator. We give an illustrative example in the last section.
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| first_indexed | 2024-04-09T15:02:13Z |
| format | Article |
| id | doaj.art-bd81c9f60f1e40d4a9a8ae73ce8ec2d6 |
| institution | Directory Open Access Journal |
| issn | 2773-4196 |
| language | English |
| last_indexed | 2024-04-09T15:02:13Z |
| publishDate | 2023-04-01 |
| publisher | Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila |
| record_format | Article |
| series | Journal of Innovative Applied Mathematics and Computational Sciences |
| spelling | doaj.art-bd81c9f60f1e40d4a9a8ae73ce8ec2d62023-05-01T16:28:40ZengInstitute of Sciences and Technology, University Center Abdelhafid Boussouf, MilaJournal of Innovative Applied Mathematics and Computational Sciences2773-41962023-04-0110.58205/jiamcs.v3i1.67Caputo fractional $q$-difference equations in Banach spacesAbdelkrim SalimSaid Abbas0Mouffak Benchohra1Jamal Eddine Lazreg2University of SaidaUniversity of Sidi Bel AbbesUniversity of Sidi Bel Abbes This paper aims to explore the existence results of a certain type of Caputo fractional qq-difference equations in Banach spaces. To achieve this goal, we employ a fixed point theorem that relies on the concept of measure of noncompactness and the convex-power condensing operator. We give an illustrative example in the last section. http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/67Fractional $q$-difference equationmeasure of noncompactnesssolutionfixed point |
| spellingShingle | Abdelkrim Salim Said Abbas Mouffak Benchohra Jamal Eddine Lazreg Caputo fractional $q$-difference equations in Banach spaces Journal of Innovative Applied Mathematics and Computational Sciences Fractional $q$-difference equation measure of noncompactness solution fixed point |
| title | Caputo fractional $q$-difference equations in Banach spaces |
| title_full | Caputo fractional $q$-difference equations in Banach spaces |
| title_fullStr | Caputo fractional $q$-difference equations in Banach spaces |
| title_full_unstemmed | Caputo fractional $q$-difference equations in Banach spaces |
| title_short | Caputo fractional $q$-difference equations in Banach spaces |
| title_sort | caputo fractional q difference equations in banach spaces |
| topic | Fractional $q$-difference equation measure of noncompactness solution fixed point |
| url | http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/67 |
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