Fundamental solution of the time‐fractional telegraph Dirac operator |
| |
| Authors: | M Ferreira M M Rodrigues N Vieira |
| |
| Affiliation: | 1. School of Technology and Management, Polytechnic Institute of Leiria, Leiria, Portugal;2. CIDMA ‐ Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Campus Universitário de Santiago, Aveiro, Portugal |
| |
| Abstract: | In this work, we obtain the fundamental solution (FS) of the multidimensional time‐fractional telegraph Dirac operator where the 2 time‐fractional derivatives of orders α∈]0,1] and β∈]1,2] are in the Caputo sense. Explicit integral and series representation of the FS are obtained for any dimension. We present and discuss some plots of the FS for some particular values of the dimension and of the fractional parameters α and β. Finally, using the FS, we study some Poisson and Cauchy problems. |
| |
| Keywords: | Caputo fractional derivative fundamental solution H‐function of 2 variables multivariate Mittag‐Leffler functions telegraph dirac operators time‐fractional telegraph |
|
|
