By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the
mathematical model of HIV. In this way, we review the existence and uniqueness of 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 …

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 …

In this article, the boundary layer flow of a viscous nanofluid induced by an exponentially
stretching surface embedded in a permeable medium with the Cattaneo–Christov heat flux …

We propose a compartmental mathematical model for the spread of the COVID-19 disease,
showing its usefulness with respect to the pandemic in Portugal, from the first recorded case …

We introduce a numerical method, based on modified hat functions, for solving a class of
fractional optimal control problems. In our scheme, the control and the fractional derivative of …

We propose a qualitative analysis of a recent fractional-order COVID-19 model. We start by
showing that the model is mathematically and biologically well posed. Then, we give a proof …

We investigate the celebrated mathematical SICA model but using fractional differential
equations in order to better describe the dynamics of HIV-AIDS infection. The infection …

We provide easy and readable GNU Octave/MATLAB code for the simulation of
mathematical models described by ordinary differential equations and for the solution of …

According to the world health organization (WHO), more than 17% of infectious diseases
represented in vector-borne diseases (VBDs). So, more than 700,000 deaths annually …