Time-Fractional Diffusion-Wave Equation with Mass Absorption in a Sphere under Harmonic Impact

被引：18

作者：

Datsko, Bohdan ^{[1
,2
]}

Podlubny, Igor ^{[3
]}

Povstenko, Yuriy ^{[4
]}

机构：

[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Powstancow Warszawy 8, PL-35959 Rzeszow, Poland

[2] NAS Ukraine, Inst Appl Problems Mech & Math, UA-79060 Lvov, Ukraine

[3] Tech Univ Kosice, BERG Fac, B Nemcovej 3, Kosice 04200, Slovakia

[4] Jan Dlugosz Univ Czestochowa, Fac Math & Nat Sci, Armii Krajowej 13-15, PL-42200 Czestochowa, Poland

来源：

MATHEMATICS | 2019年 / 7卷 / 05期

关键词：

fractional calculus; mass absorption; diffusion-wave equation; Caputo derivative; harmonic impact; Laplace transform; Fourier transform; Mittag-Leffler function; BIOHEAT EQUATION; HEAT-CONDUCTION;

D O I：

10.3390/math7050433

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The time-fractional diffusion equation with mass absorption in a sphere is considered under harmonic impact on the surface of a sphere. The Caputo time-fractional derivative is used. The Laplace transform with respect to time and the finite sin-Fourier transform with respect to the spatial coordinate are employed. A graphical representation of the obtained analytical solution for different sets of the parameters including the order of fractional derivative is given.

引用

页数：11

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