Memory has a great impact on the evolution of every process related to human societies.
Among them, the evolution of an epidemic is directly related to the individuals' experiences …

We prove new estimates of the Caputo derivative of order α∈(0, 1] for some specific
functions. The estimations are shown useful to construct Lyapunov functions for systems of …

We study the burden of the HIV viremia and of treatment efficacy in the severity of the
patterns of the HIV/HCV coinfection. For this, we derive a simple non-integer-order …

We propose a Caputo-based fractional compartmental model for the dynamics of the novel
COVID-19 pandemic. The newly proposed nonlinear fractional order model is an extension …

This article is devoted to investigate a mathematical model consisting on susceptible,
exposed, infected, quarantined, vaccinated, and recovered compartments of COVID‐19. The …

We propose a fractional order model in this paper to describe the dynamics of human
immunodeficiency virus (HIV) infection. In the model, the infection transmission process is …

This paper presents a mathematical formulation and numerical simulations of an unsteady
magnetohydrodynamic non-Newtonian nanofluid flow and entropy generation over a vertical …

In this article, an analytical and numerical analysis of a computer virus epidemic model is
presented. To more thoroughly examine the dynamics of the virus, the classical model is …

In this work, a fractional-order model for HBV infection with cure of infected cells is
considered. Local asymptotic stability of equilibria is discussed. Numerical simulation using …

This paper concerns the dissipativity and stability of the Caputo nonlinear fractional
functional differential equations (F-FDEs) with order 0< α< 1. The fractional generalization of …