  The most commonly developed inventory models are the classical economic order
quantity model, is governed by the integer order differential equations. We
want to come out from the traditional thought i.e. classical order inventory
model where the memory phenomena are absent. Here, we want to incorporate the
memory effect that is based on the fact economic agents remember the history of
changes of exogenous and endogenous variables. In this paper, we have proposed
and solved a fractional order EOQ model with constant demand rate where the
demand is fully backlogged during shortage time. Finally, a numerical example
has been illustrated for this model to show the memory dependency of the
system. The numerical example clears that for the considered system the profit
is maximum in long memory affected system compared to the low memory affected
or memory less system.
