  This paper deals the implementation of \emph{homotopy perturbation transform
method} (HPTM) for numerical computation of initial valued autonomous system of
time-fractional partial differential equations (TFPDEs) with proportional
delay, including generalized Burgers equations with proportional delay. The
HPTM is a hybrid of Laplace transform and homotopy perturbation method. To
confirm the efficiency and validity of the method, the computation of three
test problems of TFPDEs with proportional delay presented. The proposed
solutions are obtained in series form, converges very fast. The scheme seems
very reliable, effective and efficient powerful technique for solving various
type of physical models arising in sciences and engineering.
