On Non-Symmetric Fractal-Fractional Modeling for Ice Smoking: Mathematical Analysis of Solutions
Drugs have always been one of the most important concerns of families and government officials at all times, and they have caused irreparable damage to the health of young people. Given the importance of this great challenge, this article discusses a non-symmetric fractal-fractional order ice-smokin...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/1/87 |
| _version_ | 1797436815196553216 |
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| author | Anwar Shah Hasib Khan Manuel De la Sen Jehad Alzabut Sina Etemad Chernet Tuge Deressa Shahram Rezapour |
| author_facet | Anwar Shah Hasib Khan Manuel De la Sen Jehad Alzabut Sina Etemad Chernet Tuge Deressa Shahram Rezapour |
| author_sort | Anwar Shah |
| collection | DOAJ |
| description | Drugs have always been one of the most important concerns of families and government officials at all times, and they have caused irreparable damage to the health of young people. Given the importance of this great challenge, this article discusses a non-symmetric fractal-fractional order ice-smoking mathematical model for the existence results, numerical results, and stability analysis. For the existence of the solution of the given ice-smoking model, successive iterative sequences are defined. The uniqueness of the solution Hyers–Ulam (HU) stability is established with the help of the existing definitions and theorems in functional analysis. By the utilization of two-step Lagrange polynomials, we provide numerical solutions and provide a comparative numerical analysis for different values of the fractional order and fractal order. The numerical simulations show the applicability of the scheme and future prediction and the effects of fractal-fractional orders simultaneously. |
| first_indexed | 2024-03-09T11:08:03Z |
| format | Article |
| id | doaj.art-5e2cffe87d224a368aef0b1978eae70a |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T11:08:03Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-5e2cffe87d224a368aef0b1978eae70a2023-12-01T00:51:38ZengMDPI AGSymmetry2073-89942022-12-011518710.3390/sym15010087On Non-Symmetric Fractal-Fractional Modeling for Ice Smoking: Mathematical Analysis of SolutionsAnwar Shah0Hasib Khan1Manuel De la Sen2Jehad Alzabut3Sina Etemad4Chernet Tuge Deressa5Shahram Rezapour6Department of Mathematics, University of Malakand, Dir Lower, Chakdara 18800, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country (UPV/EHU), 48940 Leioa, Bizkaia, SpainDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, IranDepartment of Mathematics, College of Natural Sciences, Jimma University, Jimma P.O. Box 378, EthiopiaDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, IranDrugs have always been one of the most important concerns of families and government officials at all times, and they have caused irreparable damage to the health of young people. Given the importance of this great challenge, this article discusses a non-symmetric fractal-fractional order ice-smoking mathematical model for the existence results, numerical results, and stability analysis. For the existence of the solution of the given ice-smoking model, successive iterative sequences are defined. The uniqueness of the solution Hyers–Ulam (HU) stability is established with the help of the existing definitions and theorems in functional analysis. By the utilization of two-step Lagrange polynomials, we provide numerical solutions and provide a comparative numerical analysis for different values of the fractional order and fractal order. The numerical simulations show the applicability of the scheme and future prediction and the effects of fractal-fractional orders simultaneously.https://www.mdpi.com/2073-8994/15/1/87ice smokingfractal-fractional derivativeexistencestabilityLagrange polynomials |
| spellingShingle | Anwar Shah Hasib Khan Manuel De la Sen Jehad Alzabut Sina Etemad Chernet Tuge Deressa Shahram Rezapour On Non-Symmetric Fractal-Fractional Modeling for Ice Smoking: Mathematical Analysis of Solutions Symmetry ice smoking fractal-fractional derivative existence stability Lagrange polynomials |
| title | On Non-Symmetric Fractal-Fractional Modeling for Ice Smoking: Mathematical Analysis of Solutions |
| title_full | On Non-Symmetric Fractal-Fractional Modeling for Ice Smoking: Mathematical Analysis of Solutions |
| title_fullStr | On Non-Symmetric Fractal-Fractional Modeling for Ice Smoking: Mathematical Analysis of Solutions |
| title_full_unstemmed | On Non-Symmetric Fractal-Fractional Modeling for Ice Smoking: Mathematical Analysis of Solutions |
| title_short | On Non-Symmetric Fractal-Fractional Modeling for Ice Smoking: Mathematical Analysis of Solutions |
| title_sort | on non symmetric fractal fractional modeling for ice smoking mathematical analysis of solutions |
| topic | ice smoking fractal-fractional derivative existence stability Lagrange polynomials |
| url | https://www.mdpi.com/2073-8994/15/1/87 |
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