Numerical simulation for SI model with variable-order fractional

Year 2016, Volume: 4 Issue: 2, 45 - 55, 01.03.2016

Hanaa Abdel Hameed Asfour Mohamed Gamal M. Ibrahim

Abstract

In this paper numerical studies for the variable-order fractional delay differential equations are presented. Adams-Bashforth-Moulton algorithm has been extended to study this problem, where the derivative is defined in the Caputo variable-order fractional sense. Numerical test examples are presented to demonstrate utility of the method. Chaotic behaviors are observed in variable-order one dimensional delayed systems.

Keywords

Variable order fractional derivatives, Caputo’s derivative, Adams Bashforth-Moulton method, SI model and its Existence and Uniqueness

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