Numerical Solution of Some Fractional Dynamical Systems in Medicine Involving Non-Singular Kernel With Vector Order

Shiri, B.Baleanu, DumitruBaleanu, D.Matematik2025-09-232025-09-232019Shiri, Babak; Baleanu, Dumitru (2019). "Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order", Results in Nonlinear Analysis, Vol. 2, No. 4, pp. 160-168.2636-7556https://hdl.handle.net/20.500.12416/15290In 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 nonlocal 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. © 2019, Cankaya University. All rights reserved.eninfo:eu-repo/semantics/closedAccessNumerical Solution of Some Fractional Dynamical Systems in Medicine Involving Non-Singular Kernel With Vector OrderNumerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector orderArticle2-s2.0-85079788448