TY - JOUR
TI - Modelling the oxygen diffusion equation within the scope of fractional calculus
AU - Morales-Delgado Victor Fabian
AU - Gómez-Aguilar José Francisco
AU - Atangana Abdon
JN - Thermal Science
PY - 2019
VL - 23
IS - 2
SP - 1279
EP - 1287
PT - Article
AB - The diffusion of oxygen into human body with simultaneous absorption is an important problem and it is of great importance in medical applications. This problem can be formulated in two stages; At the first stage, the absorption of oxygen at the surface of the medium is constant and an another stage considering the moving boundary problem of oxygen absorbed by the human body. In this paper we obtain analytical solutions for the oxygen diffusion equation considering the Liouville-Caputo, Atangana-Baleanu-Caputo, fractional conformable derivative in the Liouville-Caputo sense and Atangana-Koca-Caputo fractionalorder derivatives. Numerical simulations were obtained for different values of the fractional order.