AIMS Mathematics (Dec 2017)

Fractional calculus and the ESR test

  • J. Vanterler da C. Sousa,
  • E. Capelas de Oliveira,
  • L. A. Magna

DOI
https://doi.org/10.3934/Math.2017.4.692
Journal volume & issue
Vol. 2, no. 4
pp. 692 – 705

Abstract

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We consider the partial differential equation of a mathematical model proposed by Sharmaet al. [1] to describe the concentration of nutrients in blood, a factor which influences erythrocytesedimentation rate. Introducing in it a fractional derivative in the Caputo sense, we create a new, timefractionalmathematical model which contains, as a particular case, the original model. We obtainan analytic solution of this time-fractional partial differential equation in terms of Mittag-Leffler andWright functions and to show that our model is more realistic than the Sharma model.

Keywords