A new technique to solve generalized Caputo type fractional differential equations with the example of computer virus model
Pushpendra Kumar, Vedat Suat Ertürk, Anoop Kumar
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.
Topics & Concepts
MathematicsGeneralizationType (biology)Applied mathematicsInteger (computer science)Order (exchange)Fractional calculusDifferential equationScheme (mathematics)Exact solutions in general relativityMathematical analysisComputer scienceBiologyEconomicsFinanceProgramming languageEcologyFractional Differential Equations SolutionsAdvanced Control Systems Design