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Fractional calculus and the ESR test

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

AIMS mathematics, 2017-01, Vol.2 (4), p.692-705 [Revista revisada por pares]

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Título:
Fractional calculus and the ESR test
Autor: Vanterler da C. Sousa, J. ; Capelas de Oliveira, E. ; A. Magna, L.
Materias: ESR| Mittag-Leffler functions| time-fractional PDE| Wright function
Es parte de: AIMS mathematics, 2017-01, Vol.2 (4), p.692-705
Descripción: 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.
Editor: AIMS Press
Idioma: Inglés

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