Article ID Journal Published Year Pages File Type
837877 Nonlinear Analysis: Real World Applications 2011 9 Pages PDF
Abstract

In this paper, a time-fractional axisymmetric diffusion–wave equation with a source term is considered in cylindrical coordinates. The analytical solution is obtained with the help of an integral transform method and some properties of special functions. In addition, we discuss two kinds of different boundary conditions and different forms of the source term. Finally, we analyze the effects of the fractional derivative on the solutions by using numerical results and find that sub-diffusion phenomena and oscillations exist.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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