An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells

Authors:
Vedat Suat Ertürk;Zaid M. Odibat;Shaher Momani
Affiliations:
Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayıs University, 55139, Samsun, Turkey;Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa Applied University, Al-Salt, 19117, Jordan;The University of Jordan, Faculty of Science, Department of Mathematics, Amman, 1194, Jordan
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 5
Cited 1

Fractional order dynamics in a GA planner

Signal Processing - Special issue: Fractional signal processing and applications
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula

Journal of Computational and Applied Mathematics
A multi-step differential transform method and application to non-chaotic or chaotic systems

Computers & Mathematics with Applications
A fractional-order differential equation model of HIV infection of CD4+ T-cells

Mathematical and Computer Modelling: An International Journal

A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this paper, a fractional order differential system for modeling human T-cell lymphotropic virus I (HTLV-I) infection of CD4^+ T-cells is studied and its approximate solution is presented using a multi-step generalized differential transform method. The method is only a simple modification of the generalized differential transform method, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding systems. The solutions obtained are also presented graphically.