文章基本信息

标题：Nonhomogeneous initial and boundary value problem for the Caputo-type fractional wave equation
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作者：Mehmet Ali Özarslan ; Cemaliye Kürt
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-14
DOI：10.1186/s13662-019-2110-8
出版社：Hindawi Publishing Corporation
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.
关键词：Fractional wave equation ; Caputo time fractional derivative ; Mittag-Leffler function ; Laplace transform