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This paper deals the implementation of \emph{homotopy perturbation transformmethod} (HPTM) for numerical computation of initial valued autonomous system oftime-fractional partial differential equations (TFPDEs) with proportionaldelay, including generalized Burgers equations with proportional delay. TheHPTM is a hybrid of Laplace transform and homotopy perturbation method. Toconfirm the efficiency and validity of the method, the computation of threetest problems of TFPDEs with proportional delay presented. The proposedsolutions are obtained in series form, converges very fast. The scheme seemsvery reliable, effective and efficient powerful technique for solving varioustype of physical models arising in sciences and engineering.

Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay