  The electrical impedance response of Gelatin based solid polymer electrolyte
to gamma irradiation is investigated by impedance spectroscopy. An analysis
based on Poisson-Nernst-Plank model, incorporating fractional time derivatives
is carried out. A detailed derivation for anomalous impedance function is
given.The model involves boundary conditions with convolution of the fractional
time derivative of ion density and adsorption desorption relaxation kinetics. A
fractional diffusion-drift equation is used to solve the bulk behavior of the
mobile charges in the electrolyte. The complex adsorption-desorption process at
the electrode-electrolyte interface produces an anomalous effect in the system.
The model gives a very good fit for the observed impedance data for this
biopolymer based solid electrolyte in wide range of frequencies. We have
compared different parameters based upon this model for both irradiated and
unirradiated samples.
