This paper presents a computational technique based on the Tau method and Legendre polynomials for the solution of a class of time-fractional telegraph equations. An appropriate representation of the solution via the Legendre operational matrix of fractional derivative is used to reduces its numerical treatment to the solution of a set of linear algebraic equations. The fractional derivatives a...

We discuss and derive the analytical solution for three basic problems of the so-called timefractional telegraph equation. The Cauchy and Signaling problems are solved by means of juxtaposition of transforms of the Laplace and Fourier transforms in variable t and x, respectively. the appropriate structures and negative prosperities for their Green functions are provided. The boundary problem in...

Let L s L u be a linear differential operator acting on functions u: V a R that are defined on a fixed manifold V. These functions will belong to a Ž . certain family B ; F V, R , and the definition of B may include some boundary conditions or other requirements that must be satisfied by any function u g B. It is said that L satisfies the maximum principle if the differential inequality L u G 0...

In this paper, we present an analytical method to solve a time-conformable fractional telegraph equation with three boundary conditions namely, Dirichlet, Neumann and Robin. This based on Fourier conformable calculus properties. We give examples validate method.

The Telegraph equation has drawn much attention due to its recent variety of applications in different areas the communication system. Various methods have been developed solve so far. In this research paper, we formulated a derivation mathematically for section line transmission concerning voltage associated and current. Therefore, obtained mathematical solved numerically by COMSOL Multiphysic...