Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry

被引：60

作者：

Povstenko, Yuriy ^{[1
]}

机构：

[1] Jan Dlugosz Univ Czestochowa, Inst Math & Comp Sci, PL-42200 Czestochowa, Poland

来源：

NONLINEAR DYNAMICS | 2010年 / 59卷 / 04期

关键词：

Non-Fickean diffusion; Diffusion-wave equation; Fractional calculus; Integral transforms; HEAT-CONDUCTION EQUATION; FUNDAMENTAL-SOLUTIONS; ANOMALOUS DIFFUSION; RADIAL DIFFUSION; RANDOM-WALK; STRESSES; TRANSPORT; SYSTEM;

D O I：

10.1007/s11071-009-9566-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The paper is concerned with analysis of time-fractional diffusion-wave equation with Caputo fractional derivative in a half-space. Several examples of problems with Dirichlet and Neumann conditions at the boundary of a half-space are solved using integral transforms technique. For the first and second time-derivative terms, the obtained solutions reduce to the solutions of the ordinary diffusion and wave equations. Numerical results are presented graphically for various values of order of fractional derivative.

引用

页码：593 / 605

页数：13

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