Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order

Authors : Babak SHİRİ, Dumitru BALEANU

Pages : 160-168

View : 10 | Download : 6

Publication Date : 2019-12-25

Article Type : Research Paper

Abstract :In this paper, we propose systems of variable-order fractional equations for some problems in medicine. These problems include the dynamics of Zika virus fever and HIV infection of CD4 $^+$ T-cells. Two types of non-local fractional derivatives are considered and compared in these dynamics: The Liouville - Caputo`s definition and a definition involving non-singular Mittag - Leffler kernel. Predictor-corrector methods are described for simulating the corresponding dynamical systems.
Keywords : Dynamical systems, Zika virus fever, HIV infection of CD4 ^ T cells, Predictor corrector methods, System of variable order fractional equations