A new technique to solve generalized Caputo type fractional differential equations with the example of computer virus model

Abstract

In this research work, we proposed a new fractional numer-ical algorithm to obtain the exact solutions of generalized fractional-order dierential equations in Caputo sense of order 0 < beta< 1. Fornding the exact solutions by the proposed technique we used the solu-tions of integer-order dierential equations. Generalization of the pro-posed scheme to nite systems is also introduced. At the last, we gave some numerical simulations of some specic equations along with thesolution of a computer virus model to illustrate the applications of ourresults.