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

Electrical Impedance Response of Gamma Irradiated Gelatin based Solid Polymer Electrolytes Analyzed Using a Generalized Calculus Formalism