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 numeri- cal algorithm to obtain the numerical or exact solutions of generalized- Caputo type fractional-order differential equations of order 0 < & < - 1. For nding the numerical or exact solutions by the proposed technique, we use the solutions of integer-order differential equations. Generaliza- tion of the proposed scheme to nite systems is also introduced. At the last, we derive the numerical simulations of some specic equations along with the solution of a computer virus model to illustrate the ap- plications of our results. The proposed scheme is very effective and easy to apply on different kind of systems.