Fractional wave equation with a frictional memory kernel of Mittag-Leffler type
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摘要
In this paper we give an analytical treatment of a fractional wave equation with Caputo time fractional derivative and frictional memory kernel of Mittag-Leffler type. This problem generalizes a recently solved problem [62] of a wave equation for a vibrating string in presence of a fractional friction with power-law memory kernel. Such equations can be used in the context of modeling processes in complex and viscoelastic media.
论文关键词:Fractional wave equation,Memory kernel,Caputo time fractional derivative,Mittag-Leffler function,Fractional integral operator,Sturm–Liouville problem
论文评审过程:Available online 19 April 2012.
论文官网地址:https://doi.org/10.1016/j.amc.2012.03.055