An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells. (English) Zbl 1228.92064

Ertürk, Vedat Suat; Odibat, Zaid M.; Momani, Shaher

Comput. Math. Appl. 62, No. 3, 996-1002 (2011).

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:

92D30	Epidemiology
34A08	Fractional ordinary differential equations
26A33	Fractional derivatives and integrals
45J05	Integro-ordinary differential equations
65L99	Numerical methods for ordinary differential equations

Keywords:

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

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