Center for Research and Development in Mathematics and Applications

Funder

Organizational Unit

Publications

First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators

Publication . Ferreira, Milton; Rodrigues, Manuela M.; Vieira, Nelson

In this work we obtain the first and second fundamental solutions (FS) of the multidimensional time-fractional equation with Laplace or Dirac operators, where the two time-fractional derivatives of orders α ∈]0, 1] and β ∈]1, 2] are in the Caputo sense. We obtain representations of the FS in terms of Hankel transform, double Mellin- Barnes integrals, and H-functions of two variables. As an application, the FS are used to solve Cauchy problems of Laplace and Dirac type.

2018-05Journal article

Open access