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Zbl 1228.92064
Ertürk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher
An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells. (English)
[J] Comput. Math. Appl. 62, No. 3, 996-1002 (2011). ISSN 0898-1221

Summary: 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.

MSC 2000:: *92D30 Epidemiology
34A08
26A33 Fractional derivatives and integrals (real functions)
45J05 Integro-ordinary differential equations
65L99 Numerical methods for ODE

Keywords: HTLV-I infection; fractional differential equations; differential transform method; numerical solution

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