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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 T-cells. (English) Zbl 1228.92064
Summary: A fractional order differential system for modeling human T-cell lymphotropic virus I (HTLV-I) infection of $CD{4}^{+}$ 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 differential equations 26A33 Fractional derivatives and integrals (real functions) 45J05 Integro-ordinary differential equations 65L99 Numerical methods for ODE