Abstract
The aim of this research was to relate two physical effects for
partial differential equations on the time-coordinate, notably the multipledelay
times and fractional-derivative. Time Fractional Delay Partial Differential
Equations (TFDPDEs) usually interpret some complex physical
phenomenon. This study works to solve TFDPDE with shrinking in x and
proportional delays in t numerically by utilizing the fractional derivative
of Caputo sense in the numerical method known as Perturbation Iteration
Algorithm (PIA). A few famous numerical examples have been solved
using PIA and their comparison with an exact solutions is illustrated for
® = 1. Also, different values of ® have been depicted in graphical form to
show their fractional behavior. The delay term k is also discussed extensively
in this TFDPDE study. Numerical results show that this technique is
reliable, convenient, and attractive for computational use in modern times.
Publisher
Department of Mathematics, University of the Punjab
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