Nonhomogeneous initial and boundary value problem for the Caputo-type fractional wave equation

Abstract In this paper, we give an analytical solution of a fractional wave equation for a vibrating string with Caputo time fractional derivatives. We obtain the exact solution in terms of three parameter Mittag-Leffler function. Furthermore, some examples of the main result are exhibited.

Bibliographic Details
Main Authors: Mehmet Ali Özarslan, Cemaliye Kürt
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2110-8