Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model
In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p-Laplacian operator. We also study the uniqueness and Hyers-Ulam stability (HU-stability) for the solutions of the pres...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823001503 |
| _version_ | 1797833098099949568 |
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| author | Hasib Khan Jehad Alzabut Haseena Gulzar |
| author_facet | Hasib Khan Jehad Alzabut Haseena Gulzar |
| author_sort | Hasib Khan |
| collection | DOAJ |
| description | In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p-Laplacian operator. We also study the uniqueness and Hyers-Ulam stability (HU-stability) for the solutions of the presumed mABC-FDEs system. For the recently developed mABC-operator, such a problem has not yet studied also our problem is more general than those in the available literature. |
| first_indexed | 2024-04-09T14:19:16Z |
| format | Article |
| id | doaj.art-2993d4a1585e475183bc0b6efd4d52fe |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-09T14:19:16Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-2993d4a1585e475183bc0b6efd4d52fe2023-05-05T04:39:59ZengElsevierAlexandria Engineering Journal1110-01682023-05-0170665672Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease modelHasib Khan0Jehad Alzabut1Haseena Gulzar2Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia; Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal PO Box 18000, Dir Upper, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia; Department of Industrial Engineering, OSTİM Technical University, 06374 Ankara, Turkey; Corresponding author.Department of Biotechnology, Shaheed Benazir Bhutto University, Sheringal PO Box 18000, Dir Upper, Khyber Pakhtunkhwa, PakistanIn this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p-Laplacian operator. We also study the uniqueness and Hyers-Ulam stability (HU-stability) for the solutions of the presumed mABC-FDEs system. For the recently developed mABC-operator, such a problem has not yet studied also our problem is more general than those in the available literature.http://www.sciencedirect.com/science/article/pii/S1110016823001503Modified ABC-operatorp-Laplacian operatorexistence of solutionsunique solutionHyers-Ulam-stabilitynumerical scheme |
| spellingShingle | Hasib Khan Jehad Alzabut Haseena Gulzar Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model Alexandria Engineering Journal Modified ABC-operator p-Laplacian operator existence of solutions unique solution Hyers-Ulam-stability numerical scheme |
| title | Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model |
| title_full | Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model |
| title_fullStr | Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model |
| title_full_unstemmed | Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model |
| title_short | Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model |
| title_sort | existence of solutions for hybrid modified abc fractional differential equations with p laplacian operator and an application to a waterborne disease model |
| topic | Modified ABC-operator p-Laplacian operator existence of solutions unique solution Hyers-Ulam-stability numerical scheme |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823001503 |
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