In this study, we investigate the impact of memory effects through the application of the
fractal–fractional derivative operator on population dynamics in computer viruses. By …

The aim of the study is to reduce the absolute error by determining the optimal value of this
arbitrary parameter using the residual error function related to the selection of the arbitrary …

The susceptible–infected–recovered model of computer viruses is investigated as a
nonlinear system of ordinary differential equations by using the homotopy analysis method …

In this work, we consider a fractional-order epidemiological model for computer viruses to
study memory effects on population dynamics. This model is derived from a well-known …

This paper is aimed at constructing fractional power series (FPS) solutions of fractional
Burgers-Huxley equations using residual power series method (RPSM). RPSM is combining …

Awareness of virus spreading is an important issue for building various defence strategies
and protecting personal computers, smart devices, network devices, etc. In this research …

The book presents efficient numerical methods for simulation and analysis of physical
processes exhibiting fractional order (FO) dynamics. The book introduces FO system …

The aim of this paper is to find the approximate solution of HIV infection model of CD4+ T
cells. For this reason, the homotopy analysis transform method (HATM) is applied. The …

In this paper, the non-linear modified epidemiological model of computer viruses is
illustrated. For this aim, two semi-analytical methods, the differential transform method (DTM) …

The enhanced homotopy analysis method was employed to solve the nonlinear time-
fractional advection equation, resulting in the derivation of a series of solutions. The …