Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order
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Date
2019
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Cankaya University
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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 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.
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Shiri, 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.
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Q3
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Results in Nonlinear Analysis
Volume
2
Issue
4
Start Page
160
End Page
168