An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus i (HTLV-I) infection of CD 4 + T-cells

Vedat Suat Ertrk; Zaid M. Odibat; Shaher Momani

doi:10.1016/j.camwa.2011.03.091

An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus i (HTLV-I) infection of CD 4 ⁺ T-cells

Vedat Suat Ertrk
, Zaid M. Odibat
, Shaher Momani

Ondokuz Mayis University
Al-Balqa Applied University
University of Jordan

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

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.

Original language	English
Pages (from-to)	996-1002
Number of pages	7
Journal	Computers and Mathematics with Applications
Volume	62
Issue number	3
DOIs	https://doi.org/10.1016/j.camwa.2011.03.091
State	Published - Aug 2011
Externally published	Yes

Keywords

Differential transform method
Fractional differential equations
HTLV-I infection
Numerical solution

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10.1016/j.camwa.2011.03.091

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PY - 2011/8

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KW - Fractional differential equations

KW - HTLV-I infection

KW - Numerical solution

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An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus i (HTLV-I) infection of CD 4 ⁺ T-cells

Abstract

Keywords

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