Solutions to the fractional diffusion-wave equation in a wedge

被引：1
作者：
Yuriy Povstenko
机构：
[1] Jan Długosz University in Częstochowa,Institute of Mathematics and Computer Science
[2] European University of Informatics and Economics (EWSIE),Department of Computer Science
来源：
Fractional Calculus and Applied Analysis | 2014年 / 17卷
关键词：
fractional calculus; Caputo derivative; diffusion-wave equation; Mittag-Leffler functions; Dirichlet boundary condition; Neumann boundary condition; Primary 26A33; Secondary 35K05, 35L05, 45K05, 44Axx;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The diffusion-wave equation with the Caputo derivative of the order 0 < α ≤ 2 is considered in polar coordinates in a domain 0 ≤ r < ∞, 0 < φ < φ0 under Dirichlet and Neumann boundary conditions. The Laplace integral transform with respect to time, the finite sin- and cos-Fourier transforms with respect to the angular coordinate, and the Hankel transform with respect to the radial coordinate are used. The numerical results are illustrated graphically.
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页码：122 / 135
页数：13
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