Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/345374
Type: Artigo
Title: Fractional calculus and the ESR test
Author: Sousa, J. Vanterler da C.
Oliveira, E. Capelas de
Magna, L. A.
Abstract: We consider the partial di_x005F_x005F_x005F_x000B_erential equation of a mathematical model proposed by Sharma et al. [1] to describe the concentration of nutrients in blood, a factor which influences erythrocyte sedimentation rate. Introducing in it a fractional derivative in the Caputo sense, we create a new, timefractional mathematical model which contains, as a particular case, the original model. We obtain an analytic solution of this time-fractional partial di_x005F_x005F_x005F_x000B_erential equation in terms of Mittag-Le_x005F_x005F_x005F_x000F_er and Wright functions and to show that our model is more realistic than the Sharma model
Subject: Equações diferenciais parciais
 Mittag-Leffler
Funções de
Partial differential equations
Mittag-Leffler functions
Country: Estados Unidos
Editor: AIMS
Rights: aberto
Identifier DOI: 10.3934/Math.2017.4.692
Address: https://www.aimspress.com/article/10.3934/Math.2017.4.692/fulltext.html
Date Issue: 2017
Appears in Collections:FCM - Artigos e Outros Documentos
IMECC - Artigos e Outros Documentos

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