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

Mehmet Ali Özarslan, Cemaliye Kürt
2019 Advances in Difference Equations  
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. MSC: 35L05; 26A33; 33E12; 44A10
doi:10.1186/s13662-019-2110-8 fatcat:scd2hg7alrhuxjwbimy3bl6xwe