Fractional Calculus and the ESR test

2016/12/29 by J. Vanterler da C. Sousa, Sousa, José Vanterler da Costa, E. Capelas de Oliveira +3
Mathematics · #FOS: Biological sciences #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Tissues and Organs (q-bio.TO)

paper · pdf · doi:10.48550/arxiv.1701.07379

openalex publication_date 2016/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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