A study on the fractal-fractional tobacco smoking model
In this article, we consider a fractal-fractional tobacco mathematical model with generalized kernels of Mittag-Leffler functions for qualitative and numerical studies. From qualitative point of view, our study includes; existence criteria, uniqueness of solution and Hyers-Ulam stability. For the nu...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022767?viewType=HTML |
| _version_ | 1818234682202914816 |
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| author | Hasib Khan Jehad Alzabut Anwar Shah Sina Etemad Shahram Rezapour Choonkil Park |
| author_facet | Hasib Khan Jehad Alzabut Anwar Shah Sina Etemad Shahram Rezapour Choonkil Park |
| author_sort | Hasib Khan |
| collection | DOAJ |
| description | In this article, we consider a fractal-fractional tobacco mathematical model with generalized kernels of Mittag-Leffler functions for qualitative and numerical studies. From qualitative point of view, our study includes; existence criteria, uniqueness of solution and Hyers-Ulam stability. For the numerical aspect, we utilize Lagrange's interpolation polynomial and obtain a numerical scheme which is further illustrated simulations. Lastly, a comparative analysis is presented for different fractal and fractional orders. The numerical results are divided into four figures based on different fractal and fractional orders. We have found that the fractional and fractal orders have a significant impact on the dynamical behaviour of the model. |
| first_indexed | 2024-12-12T11:41:57Z |
| format | Article |
| id | doaj.art-fe18368c3e57418e91f8174f4838be27 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-12T11:41:57Z |
| publishDate | 2022-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-fe18368c3e57418e91f8174f4838be272022-12-22T00:25:32ZengAIMS PressAIMS Mathematics2473-69882022-05-0178138871390910.3934/math.2022767A study on the fractal-fractional tobacco smoking modelHasib Khan 0 Jehad Alzabut 1Anwar Shah2Sina Etemad3Shahram Rezapour4Choonkil Park 51. Department of Mathematics, Shaheed Benazir Bhutto Uniersity, Sheringal, Dir Upper, Khyber Pakhtunkhwa, Pakistan 2. Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia2. Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia 3. Department of Industrial Engineering, OSTİM Technical University, 06374 Ankara, Türkiye4. Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan5. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran5. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran 6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan7. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaIn this article, we consider a fractal-fractional tobacco mathematical model with generalized kernels of Mittag-Leffler functions for qualitative and numerical studies. From qualitative point of view, our study includes; existence criteria, uniqueness of solution and Hyers-Ulam stability. For the numerical aspect, we utilize Lagrange's interpolation polynomial and obtain a numerical scheme which is further illustrated simulations. Lastly, a comparative analysis is presented for different fractal and fractional orders. The numerical results are divided into four figures based on different fractal and fractional orders. We have found that the fractional and fractal orders have a significant impact on the dynamical behaviour of the model.https://www.aimspress.com/article/doi/10.3934/math.2022767?viewType=HTMLfractal-fractional derivativeexistencetobacco modelstabilitysimulationinterpolation |
| spellingShingle | Hasib Khan Jehad Alzabut Anwar Shah Sina Etemad Shahram Rezapour Choonkil Park A study on the fractal-fractional tobacco smoking model AIMS Mathematics fractal-fractional derivative existence tobacco model stability simulation interpolation |
| title | A study on the fractal-fractional tobacco smoking model |
| title_full | A study on the fractal-fractional tobacco smoking model |
| title_fullStr | A study on the fractal-fractional tobacco smoking model |
| title_full_unstemmed | A study on the fractal-fractional tobacco smoking model |
| title_short | A study on the fractal-fractional tobacco smoking model |
| title_sort | study on the fractal fractional tobacco smoking model |
| topic | fractal-fractional derivative existence tobacco model stability simulation interpolation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022767?viewType=HTML |
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