Stability analysis of fractional nabla difference COVID-19 model
Microorganisms lives with us in our environment, touching infectious material on the surfaces by hand-mouth which causes infectious diseases and some of these diseases are rapidly spreading from person to person. These days the world facing COVID-19 pandemic disease. This article concerned with exis...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721000681 |
| _version_ | 1818616574121082880 |
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| author | Aziz Khan Hashim M. Alshehri Thabet Abdeljawad Qasem M. Al-Mdallal Hasib Khan |
| author_facet | Aziz Khan Hashim M. Alshehri Thabet Abdeljawad Qasem M. Al-Mdallal Hasib Khan |
| author_sort | Aziz Khan |
| collection | DOAJ |
| description | Microorganisms lives with us in our environment, touching infectious material on the surfaces by hand-mouth which causes infectious diseases and some of these diseases are rapidly spreading from person to person. These days the world facing COVID-19 pandemic disease. This article concerned with existence of results and stability analysis for a nabla discrete ABC-fractional order COVID-19. The nabla discrete ABC-fractional operator as more general and applicable in modeling of dynamical problems due to its non-singular kernel. For the existence and uniqueness theorems and Hyers-Ulam stability, we need to suppose some conditions which will play important role in the proof of our main results. At the end, an expressive example is given to provide an application for the nabla discrete ABC-fractional order COVID-19 model. |
| first_indexed | 2024-12-16T16:51:58Z |
| format | Article |
| id | doaj.art-14c100246f424249b0c2605afcc5311e |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-16T16:51:58Z |
| publishDate | 2021-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-14c100246f424249b0c2605afcc5311e2022-12-21T22:23:59ZengElsevierResults in Physics2211-37972021-03-0122103888Stability analysis of fractional nabla difference COVID-19 modelAziz Khan0Hashim M. Alshehri1Thabet Abdeljawad2Qasem M. Al-Mdallal3Hasib Khan4Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi ArabiaMathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21521, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan; Corresponding authors at: Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia (T. Abdeljawad), Department of Mathematical Sciences, United Arab Emirates University, Al Ain, 15551 Abu Dhabi, United Arab Emirates (Q.M. Al-Mdallal).Department of Mathematical Sciences, United Arab Emirates University, Al Ain, 17551 Abu Dhabi, United Arab Emirates; Corresponding authors at: Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia (T. Abdeljawad), Department of Mathematical Sciences, United Arab Emirates University, Al Ain, 15551 Abu Dhabi, United Arab Emirates (Q.M. Al-Mdallal).Department of Mathematics, Shaheed Benazir Bhutto University, Dir Upper 18000, Khybar Pakhtunkhwa, PakistanMicroorganisms lives with us in our environment, touching infectious material on the surfaces by hand-mouth which causes infectious diseases and some of these diseases are rapidly spreading from person to person. These days the world facing COVID-19 pandemic disease. This article concerned with existence of results and stability analysis for a nabla discrete ABC-fractional order COVID-19. The nabla discrete ABC-fractional operator as more general and applicable in modeling of dynamical problems due to its non-singular kernel. For the existence and uniqueness theorems and Hyers-Ulam stability, we need to suppose some conditions which will play important role in the proof of our main results. At the end, an expressive example is given to provide an application for the nabla discrete ABC-fractional order COVID-19 model.http://www.sciencedirect.com/science/article/pii/S2211379721000681Nabla discrete ABC-fractional differencesNabla discrete ABC-fractional sumsLipschitz conditionHyers-Ulam stability |
| spellingShingle | Aziz Khan Hashim M. Alshehri Thabet Abdeljawad Qasem M. Al-Mdallal Hasib Khan Stability analysis of fractional nabla difference COVID-19 model Results in Physics Nabla discrete ABC-fractional differences Nabla discrete ABC-fractional sums Lipschitz condition Hyers-Ulam stability |
| title | Stability analysis of fractional nabla difference COVID-19 model |
| title_full | Stability analysis of fractional nabla difference COVID-19 model |
| title_fullStr | Stability analysis of fractional nabla difference COVID-19 model |
| title_full_unstemmed | Stability analysis of fractional nabla difference COVID-19 model |
| title_short | Stability analysis of fractional nabla difference COVID-19 model |
| title_sort | stability analysis of fractional nabla difference covid 19 model |
| topic | Nabla discrete ABC-fractional differences Nabla discrete ABC-fractional sums Lipschitz condition Hyers-Ulam stability |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721000681 |
| work_keys_str_mv | AT azizkhan stabilityanalysisoffractionalnabladifferencecovid19model AT hashimmalshehri stabilityanalysisoffractionalnabladifferencecovid19model AT thabetabdeljawad stabilityanalysisoffractionalnabladifferencecovid19model AT qasemmalmdallal stabilityanalysisoffractionalnabladifferencecovid19model AT hasibkhan stabilityanalysisoffractionalnabladifferencecovid19model |