Huge analysis of Hepatitis C model within the scope of fractional calculus

Volume 9, Issue 12, pp 6195--6203 http://dx.doi.org/10.22436/jnsa.009.12.24

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Authors

Badr Saad T. Alkahtani - Department of mathematics, college of science, King Saud University, P. O. Box 1142, Riyadh, 11989, Saudi Arabia. Abdon Atangana - Institute for groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300 Bloemfontein, South Africa. Ilknur Koca - Department of Mathematics, Faculty of Sciences, Mehmet Akif Ersoy University, 15100, Burdur, Turkey.

Abstract

A model of Hepatitis C is considered using the concept of derivative with fractional order. Using the benefits associated to Caputo derivative with fractional order, we study the existence and uniqueness of the system solutions with the help of fixed-point theorem. We derive special solutions using an iterative method. To see the efficiency of the used method, we present in detail the stability analysis of this method together with the uniqueness of the special solutions.

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Keywords

• Hepatitis C model
• special solution
• fixed point theorem
• iterative method.

MSC

•  34C60
•  92C60
•  34C05
•  34D20
•  47N20

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