Fractional model for the study of the tuberculosis in Mexico

Abstract

In this paper, we present a definition of the generalized fractional local derivative, which contains as a particular case several of those reported in the literature. In this framework, we apply this operator to the study of the solutions of some fractional differential equations and we focus mainly on a Gompertz model applied to the study of tuberculosis in Mexico. We also show the effectiveness of this model by fitting it to real data and by comparing it with other models using other well-known definitions of fractional derivative. KEYWORDSapplications, differential equations with fractional derivatives, fractional conformable derivatives and integrals MSC CLASSIFICATION26A33, 34K37

Analyzing election trends incorporating memory effect through a fractional-order mathematical modeling

“…The proposed method aggregates multi-level fisher vectors generated from completed local fractional order derivative feature vectors. Disease models [25] by various authors also help us gain meaningful insights into recent applications [26,27]. El-Mesady et al [28] presented a comprehensive analysis of the stability and control of the fractional-order monkeypox virus infection model, whereas Higazy et al [29].…”

On the generalized Fourier transform

“…The papers by Fleitas et al [13] and Bosch et al [32] developed a theory of the Laplace transform for fractional differential equations. This theory was used in the study of fractional differential equations; see, for example, earlier studies [31][32][33][34][35][36]. In the same direction, taking the conformable fractional derivative as a basis, the conformable fractional Fourier transform was worked in previous work [37][38][39][40][41].…”