Stability analysis of fractional nabla difference COVID-19 model

• Published in: Results in physics Vol. 22; p. 103888
• Main Authors: Khan, Aziz, Alshehri, Hashim M., Abdeljawad, Thabet, Al-Mdallal, Qasem M., Khan, Hasib
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01.03.2021; The Author(s). Published by Elsevier B.V; Elsevier
• Subjects: Hyers-Ulam stability; Lipschitz condition; Nabla discrete ABC-fractional differences; Nabla discrete ABC-fractional sums; Nabla discrete ABC-fractional differences; Lipschitz condition; Nabla discrete ABC-fractional sums; Hyers-Ulam stability
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.103888

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.