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Statistics In Transition

Article | 27-May-2019

FORMULATION OF THE SIMPLE MARKOVIAN MODEL USING FRACTIONAL CALCULUS APPROACH AND ITS APPLICATION TO ANALYSIS OF QUEUE BEHAVIOUR OF SEVERE PATIENTS

In this paper, we introduce a fractional order of a simple Markovian model where the arrival rate of the patient is Poisson,i.e. independent of the patient size. Fractionis obtained by replacing the first order time derivative in the difference differential equations which govern the probability law of the process with the Mittag-Leffler function. We derive the probability distribution of the number N(t) of patients suffering from severe disease at an arbitrary time t. We also obtain the mean

Soma Dhar, Lipi B. Mahanta, Kishore Kumar Das

Statistics in Transition New Series, Volume 20 , ISSUE 1, 117–129