Fractional Calculus and the ESR test
Tissues and Organs
2017-01-27 v1
Abstract
We consider a partial differential equation associated with a mathematical model describing the concentration of nutrients in blood which interferes directly on the erythrocyte sedimentation rate in the case of an average fluid velocity equal to zero. Introducing the fractional derivative in the Caputo sense, we propose a time-fractional mathematical model which contains, as a particular case, the model proposed by Sharma et al. Our main purpose is to obtain an analytic solution of this time-fractional partial differential equation in terms of the Mittag-Leffler function and Wright function.
Cite
@article{arxiv.1701.07379,
title = {Fractional Calculus and the ESR test},
author = {José Vanterler da Costa Sousa and Edmundo Capelas de Oliveira and Luiz Alberto Magna},
journal= {arXiv preprint arXiv:1701.07379},
year = {2017}
}
Comments
19 pages and 2 figures