Analysis of an axis-symmetric fractional diffusion-wave problem

作者：Ozdemir N^*; Agrawal O P; Karadeniz D; Iskender B B

来源：Journal of Physics A-Mathematical and Theoretical, 2009, 42(35): 355208.

DOI：10.1088/1751-8113/42/35/355208

This paper presents an axis-symmetric fractional diffusion-wave problem which is considered in polar coordinates. The dynamic characteristics of the system are described with a partial fractional differential equation in terms of the Riemann-Liouville fractional derivative. This continuum problem is reduced to a countable infinite problem by using the method of separation of variables. In this way, the closed form solution of the problem is obtained. The Grunwald-Letnikov approach is applied to take a numerical evaluation. The compatibility and effectiveness of this approach are realized by some simulation results which are obtained by a MATLAB program. It can be seen that the analytical and numerical solutions overlap.

• 出版日期2009-9-4