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

Advances in Difference Equations

卷:2019

Cemaliye Kürt¹  Mehmet Ali Özarslan¹ 

[1] Department of Mathematics, Faculty of Arts and Sciences, Eastern Mediterranean University;

关键词: Fractional wave equation;    Caputo time fractional derivative;    Mittag-Leffler function;    Laplace transform;   

DOI  :  10.1186/s13662-019-2110-8

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown