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

Advances in Difference Equations

Mehmet Ali Özarslan¹  Cemaliye Kürt¹ 

[1] Department of Mathematics, Faculty of Arts and Sciences, Eastern Mediterranean University, Famagusta, North Cyprus, Turkey;

关键词: Fractional wave equation;    Caputo time fractional derivative;    Mittag-Leffler function;    Laplace transform;    35L05;    26A33;    33E12;    44A10;   

DOI  :  10.1186/s13662-019-2110-8

来源: publisher

【 摘 要 】

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.

【 授权许可】

CC BY