Solving the fractional nonlinear model of influenza A(H1N1) using the multi-step generalized differential transform method

In this paper, we propose a suitable model in order to explain and understand the outbreaks of influenza A(H1N1) worldwide by using fractional derivative in the sense of Caput’s of order α 2 [0;1). The fractional-order differential equations provide a powerful instrument for incorporation of memory and hereditary properties of the systems as opposed to the integer order models. We provide the numerical simulation of the pandemic virus AH1N1 by applying the multi-step generalized differential transform method (MSGDTM). The simulated results show that the fractional-order α play an important role on the dynamic of influenza A(H1N1) epidemic.