Analysis and numerical computation of a fractional order mathematical model of testosterone secretion in humans

• Oluwatayo Michael Ogunmiloro ^[1]
  1. [1] Ekiti State University

     Ekiti State University

     Nigeria

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 4, 2023, págs. 629-645
• Idioma: inglés
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• Resumen

  • This article examines the fractional order analysis and numerical execution of a model depicting the testosterone secretion in humans, using the Caputo–Fabrizio (CF) operator. The existence and uniqueness criteria of the proposed model is studied, while the CF testosterone secretion model is worked out numerically by obtaining the model approximate solutions, employing the hybrid Laplace Adomian Decomposition Method (LADM) and Differential Transform Method (DTM). The numerical results generated from the application of the two methods comparably agree as regards efficiency, convergence and less computational effort while the hybrid LADM performs better.