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

Authors

  • Mustafa Inc Firat University
  • Pushpendra Kumar
  • Vedat Suat Erturk
  • Anoop Kumar

DOI:

https://doi.org/10.30495/jme.v15i0.2052

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.

Author Biography

Mustafa Inc, Firat University

Mathematics

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Published

2021-07-12

Issue

Vol. 15

Section

Vol. 15, No. 5, (2021)

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