Essential criteria for existence of solution of a modified-ABC fractional order smoking model
Drug usage has always been a top concern for parents and government officials, harming younger people's lives in circumstances that cannot be undone. This paper considers a modified ABC-fractional-order Ice-smoking dynamical system for the theoretical and numerical results. In the theoretical a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-05-01
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| Series: | Ain Shams Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447924000212 |
| _version_ | 1797243037649207296 |
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| author | Hasib Khan Jehad Alzabut J.F. Gómez-Aguilar Abdulwasea Alkhazan |
| author_facet | Hasib Khan Jehad Alzabut J.F. Gómez-Aguilar Abdulwasea Alkhazan |
| author_sort | Hasib Khan |
| collection | DOAJ |
| description | Drug usage has always been a top concern for parents and government officials, harming younger people's lives in circumstances that cannot be undone. This paper considers a modified ABC-fractional-order Ice-smoking dynamical system for the theoretical and numerical results. In the theoretical aspect, we study the solution existence, uniqueness work, and Hyers-Ulam (HU) stability of the presumed extended fractional order dynamical system of Ice smoking. Recursive sequences that follow one another are designed to verify the existence of a solution to the provided Ice-smoking model. Functional analysis principles and findings are applied to showcase the uniqueness of the solution and the stability under the Hyers-Ulam (HU) framework. We offer simulations and a comparison by graphs by using Lagrange polynomials. The simulations demonstrate the scheme's applicability, future forecasting, and validations of the results of modified ABC-fractional orders. |
| first_indexed | 2024-04-24T18:48:45Z |
| format | Article |
| id | doaj.art-a6b37e55d1134610b16efd9e18c2b1a9 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-24T18:48:45Z |
| publishDate | 2024-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-a6b37e55d1134610b16efd9e18c2b1a92024-03-27T04:51:51ZengElsevierAin Shams Engineering Journal2090-44792024-05-01155102646Essential criteria for existence of solution of a modified-ABC fractional order smoking modelHasib Khan0Jehad Alzabut1J.F. Gómez-Aguilar2Abdulwasea Alkhazan3Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia; Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper 18000, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia; Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, TurkeyCentro de Investigación en Ingeniería y Ciencias Aplicadas (CIICAp-IICBA)/UAEM, Universidad Autónoma del Estado de Morelos. Av. Universidad 1001 Col. Chamilpa, C.P. 62209 Cuernavaca, Morelos, Mexico; Universidad Tecnológica de México, UNITEC MÉXICO-Campus En Línea, Mexico, Mexico; Corresponding author.School of Mathematics and statistic, Northwestern Polytechnical University, Shannxi, 710072 Xi'an, PR ChinaDrug usage has always been a top concern for parents and government officials, harming younger people's lives in circumstances that cannot be undone. This paper considers a modified ABC-fractional-order Ice-smoking dynamical system for the theoretical and numerical results. In the theoretical aspect, we study the solution existence, uniqueness work, and Hyers-Ulam (HU) stability of the presumed extended fractional order dynamical system of Ice smoking. Recursive sequences that follow one another are designed to verify the existence of a solution to the provided Ice-smoking model. Functional analysis principles and findings are applied to showcase the uniqueness of the solution and the stability under the Hyers-Ulam (HU) framework. We offer simulations and a comparison by graphs by using Lagrange polynomials. The simulations demonstrate the scheme's applicability, future forecasting, and validations of the results of modified ABC-fractional orders.http://www.sciencedirect.com/science/article/pii/S2090447924000212Modified ABC modelingExistence of solutionsStability resultsLagrange polynomialsGraphical representation |
| spellingShingle | Hasib Khan Jehad Alzabut J.F. Gómez-Aguilar Abdulwasea Alkhazan Essential criteria for existence of solution of a modified-ABC fractional order smoking model Ain Shams Engineering Journal Modified ABC modeling Existence of solutions Stability results Lagrange polynomials Graphical representation |
| title | Essential criteria for existence of solution of a modified-ABC fractional order smoking model |
| title_full | Essential criteria for existence of solution of a modified-ABC fractional order smoking model |
| title_fullStr | Essential criteria for existence of solution of a modified-ABC fractional order smoking model |
| title_full_unstemmed | Essential criteria for existence of solution of a modified-ABC fractional order smoking model |
| title_short | Essential criteria for existence of solution of a modified-ABC fractional order smoking model |
| title_sort | essential criteria for existence of solution of a modified abc fractional order smoking model |
| topic | Modified ABC modeling Existence of solutions Stability results Lagrange polynomials Graphical representation |
| url | http://www.sciencedirect.com/science/article/pii/S2090447924000212 |
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