Abstract
Throughout the globe, mankind is in vastly infected situations due to a
cruel and destructive virus called coronavirus (COVID-19). The pivotal
aim of the present investigation is to analyze and examine the evolution
of COVID-19 in India with the available data in two cases first from the
beginning to 31st March and beginning to 23rd April in order to show its
exponential growth in the crucial period. The present situation in India
with respect to confirmed, active, recovered and deaths cases have been
illustrated with the aid of available data. The species of novel virus
and its stages of growth with respect some essential points are
presented. The exponential growth of projected virus by the day-to-day
base is captured in 2D plots to predict its developments and identify
the needs to control its spread on mankind. Moreover, the SEIR model is
considered to present some interesting consequences about COVID-19
within the frame of fractional calculus. A newly proposed technique
called q-Homotopy analysis transform method (q-HATM) is hired to find
the solution for the nonlinear system portraying projected model and
also presented the existence and uniqueness of the obtained results with
help of fixed point theory. The behaviour has been captured with respect
to fractional order and time.