  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.
