Approximate solutions of space and time fractional telegraph equations using Taylor series expansion method

Abstract

The study investigates the telegraph equations by considering space and time fractional derivatives. Caputo’s concept of fractional derivatives is used here. We are focusing to generalize the solutions of integer order telegraph equations to fractional order telegraph equations. In this case, approximate solutions for fractional order telegraph equations have been obtained using Taylor series expansion. Additionally, it has been shown quantitatively how the solutions converge by using the number of terms in the series solutions.