In this work, we introduce ABC-Caputo operator with ML kernel and its main characteristics
are discussed. Viral diseases models for AIDS and Zika are considered, and finally, as third …

Human immunodeficiency virus (HIV) infection is said to be a dangerous, extremely severe,
and potentially fatal disease. After weakening a person's immune system, it impedes the …

In this paper, a general formulation for the SIRV epidemiological model is presented as a
system of fractional order derivatives with respect to time to characterize some infectious …

The infectious disease brought on by COVID-19 is the pandemic that has put the lives and
economy of the entire planet in jeopardy. The only alternatives available before the creation …

In this paper a fractional optimal control problem was formulated for the outbreak of COVID-
19 using a mathematical model with fractional order derivative in the Caputo sense. The …

In this manuscript, an HIV/AIDS epidemic model including five compartments of S,\; I,\; A,\;
TS, I, A, T and RR is proposed under fractal-fractional-order derivative. The existence theory …

This paper exhibits a numerical method for solving general fractional optimal control
problems involving a dynamical system described by a nonlinear Caputo fractional …

This paper introduces a deterministic fractional-order epidemic model (FOEM) for studying
the transmission dynamics of the human immunodeficiency virus (HIV) and acquired …

Abstract Approximately 1.3 billion inhabitants in 94 countries are estimated to be at risk of
chikungunya virus infection. A mechanistic compartmental model based on fractional …

This study proposes different optimal control strategies to eliminate the damage of virus
propagation in a computer network with a minimum cost of installing anti-virus software. The …