Two Different Functions of A Variable-Order Fractional Derivative for A Vector Host Model

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Date

2021-01

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Article

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Series Info

Current Science International;Volume : 08 | Issue : 04| Oct.- Dec. Pages: 911-920

Abstract

Fractional calculus is one of the best mathematical tools to characterize the memory property of the dynamical systems. So, Variable-order fractional derivatives in Caputo sense are used in characterizing the memory property of the presented dynamic a vector host model. Numerical solutions are obtained using a predictor-corrector method to handle the fractional derivatives. These numerical solutions show that the modeling of vector host model with variable-order fractional derivatives has more advantaged than integer-order derivatives.

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Keywords

vector host model., Fractional calculus, dynamical systems, Predictor-corrector method, Predictor-corrector method, Variable-order fractional derivatives

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