Resumen de Numerical analysis of a two-parameter fractional telegraph equation

Neville J. Ford, M. Manuela Rodrigues, Jingyu Xiao, Yubin Yan

• In this paper we consider the two-parameter fractional telegraph equation of the form .CD�¿+1 t+ 0 u(t, x) + CD�À+1 x+ 0 u(t, x) . CD�¿ t+ 0 u(t, x) . u(t, x) = 0.

  Here CD�¿ t+ 0 , CD�¿+1 t+ 0 , CD�À+1 x+ 0 are operators of the Caputo-type fractional derivative, where 0 .

  �¿ < 1 and 0 . �À < 1. A numerical method is introduced to solve this fractional telegraph equation and stability conditions for the numerical method are obtained. Numerical examples are given in the final section of the paper.