Frequency analysis of generalized time-fractional telegrapher's equation

Abstract

This paper is a step forward in the analysis of generalized time-fractional telegrapher's equation, derived as the mathematical model describing transmission line. Using fractional calculus as a mathematical tool for generalization, memory effects of inductive and capacitive phenomena are included in model. The effect of electrical charge accumulation along the line is taken into account by the topological generalization of elementary circuit corresponding to the transmission line. The aim is to perform frequency analysis of the transfer function corresponding to the generalized time-fractional telegrapher's equation.