A NEW FRACTAL FRACTIONAL MODELING OF THE COMPUTER VIRUSES SYSTEM.

PARTOHAGHIGHI, MOHAMMAD; YUSUF, ABDULLAHI; KARACA, YELIZ; LI, YONG-MIN; IBRAHIM, TAREK F.; YOUNIS, B. A.; SALEH, BAHAA; ALY, AYMAN A.

In this study, we model the fractal-fractional system of the Computer virus problem using the Atangana–Baleanu operator. Moreover, we have presented the existence and the uniqueness of the results under applying the Schauder fixed point and Banach fixed theorems. We have used the Atangana–Toufik technique to obtain the approximate solutions by choosing various values of orders. Different values of fractal-fractional orders along with different amounts of initial conditions are selected to examine the performance of the suggested numerical method on the new fractal-fractional system. Also, graphs in different dimensions are presented to exhibit the solutions, clearly.

COMPUTER viruses; COMPUTER systems; COMPUTER simulation

Fractals, 2022, Vol 30, Issue 5, p1

0218-348X

Academic Journal

10.1142/S0218348X22401843