Fractional model for the study of the tuberculosis in Mexico Articles uri icon

publication date

  • November 2022

start page

  • 10675

end page

  • 10688


  • 17


  • 45

International Standard Serial Number (ISSN)

  • 0170-4214

Electronic International Standard Serial Number (EISSN)

  • 1099-1476


  • 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.


  • Mathematics
  • Medicine
  • Statistics


  • applications; differential equations with fractional derivatives; fractional conformable derivatives and integrals