Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative
Qualitative theory, together with approximate solutions to a dynamic system, are investigated. The proposed mathematical model is composed of protected, susceptible, infected and treated classes. The adopted model expresses the mechanism of disease due to Typhoid fever. A modified type Caputo-Fabriz...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022792?viewType=HTML |
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| author | Eiman Saowaluck Chasreechai Thanin Sitthiwirattham M. A. El-Shorbagy Muhammad Sohail Ubaid Ullah Mati ur Rahman |
| author_facet | Eiman Saowaluck Chasreechai Thanin Sitthiwirattham M. A. El-Shorbagy Muhammad Sohail Ubaid Ullah Mati ur Rahman |
| author_sort | Eiman |
| collection | DOAJ |
| description | Qualitative theory, together with approximate solutions to a dynamic system, are investigated. The proposed mathematical model is composed of protected, susceptible, infected and treated classes. The adopted model expresses the mechanism of disease due to Typhoid fever. A modified type Caputo-Fabrizio fractional derivative (CFFD) is considered for the intended results. With the help of fixed point theory, some sufficient conditions for the existence of approximate solutions are developed. Also, to compute an approximate solution with respect to each compartment, we utilize the Laplace Transform and the Adomian decomposition method (ADM). A graphical presentation corresponding to some fundamental data is given. |
| first_indexed | 2024-12-12T09:16:03Z |
| format | Article |
| id | doaj.art-250b8a1ec5b04e2f918540f03ca2594a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-12T09:16:03Z |
| publishDate | 2022-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-250b8a1ec5b04e2f918540f03ca2594a2022-12-22T00:29:22ZengAIMS PressAIMS Mathematics2473-69882022-06-0178143761439310.3934/math.2022792Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivativeEiman0Saowaluck Chasreechai 1Thanin Sitthiwirattham2M. A. El-Shorbagy 3Muhammad Sohail 4Ubaid Ullah5Mati ur Rahman61. Department of Mathematics, University of Malakand, Chakdara Dir(L), KPK, Pakistan2. Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand3. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand4. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia 5. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt1. Department of Mathematics, University of Malakand, Chakdara Dir(L), KPK, Pakistan1. Department of Mathematics, University of Malakand, Chakdara Dir(L), KPK, Pakistan6. School of Mathematical Science, Shanghai Jiao Tong University, Shanghai ChinaQualitative theory, together with approximate solutions to a dynamic system, are investigated. The proposed mathematical model is composed of protected, susceptible, infected and treated classes. The adopted model expresses the mechanism of disease due to Typhoid fever. A modified type Caputo-Fabrizio fractional derivative (CFFD) is considered for the intended results. With the help of fixed point theory, some sufficient conditions for the existence of approximate solutions are developed. Also, to compute an approximate solution with respect to each compartment, we utilize the Laplace Transform and the Adomian decomposition method (ADM). A graphical presentation corresponding to some fundamental data is given.https://www.aimspress.com/article/doi/10.3934/math.2022792?viewType=HTMLdynamical systemapproximate solutionadmcffd |
| spellingShingle | Eiman Saowaluck Chasreechai Thanin Sitthiwirattham M. A. El-Shorbagy Muhammad Sohail Ubaid Ullah Mati ur Rahman Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative AIMS Mathematics dynamical system approximate solution adm cffd |
| title | Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative |
| title_full | Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative |
| title_fullStr | Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative |
| title_full_unstemmed | Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative |
| title_short | Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative |
| title_sort | qualitative theory and approximate solution to a dynamical system under modified type caputo fabrizio derivative |
| topic | dynamical system approximate solution adm cffd |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022792?viewType=HTML |
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