Variable-order (VO) fractional differential equations (FDEs) with a time (t), space (x) or other
variables dependent order have been successfully applied to investigate time and/or space …

Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …

In this work, a new fractional order epidemic model for the tuberculosis (TB) disease with
relapse using Atangana–Baleanu derivative is formulated. The basic reproduction number …

The main goal of the current research is to study and explore dynamic behavior of
tuberculosis by using fractional mathematical model. In this study, recently introduced …

This article presents a fractional-order mathematical model of the biological phenomena that
occur in cancer therapy. The formulation generalizes the one proposed by Soto-Ortiza and …

In this study, a new optimization algorithm, called King, is introduced for solving variable
order fractional optimal control problems (VO-FOCPs). The variable order fractional …

In this work, we use a Predictor–Corrector method to implement and derive an iterative
solution of an existing Tuberculosis (TB) model with two fractional derivatives, namely …

The aim of this study, is to present the fractional model of energy supply-demand system (ES-
DS) based on the Caputo-Fabrizio derivative. For the first time, the existence and …

The present study aims to investigate a new fractional model describing the dynamical
behaviour of the tuberculosis infection. In this new formulation, we use a recently introduced …

Nonhomogeneous systems of linear fractional equations with pure delay and multiple
delays with linear parts given by permutable or nonpermutable matrices are considered …