a new technique to solve generalized caputo-type fractional differential equations with the example of computer virus model

In this research work, we propose a new fractional numerical algorithm to obtain the numerical or exact solutions of generalizedcaputo type fractional-order differential equations of order 0 < θ ≤ 1. for finding the numerical or exact solutions by the proposed technique, we use the solutions of integer-order differential equations. generalization of the proposed scheme to finite systems is also introduced. at the last, we derive the numerical simulations of some specific equations along with the solution of a computer virus model to illustrate the applications of our results. the proposed scheme is very effective and easy to apply on different kind of systems.