Time-fractional diffusion with mass absorption under harmonic impact-Reference-Cited by-同舟云学术

Time-fractional diffusion with mass absorption under harmonic impact

Published:2018-02-01 Issue:1 Volume:21 Page:118-133
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Povstenko Yuriy¹,Kyrylych Tamara²

Affiliation:

1. Institute of Mathematics and Computer Science , Jan Dlugosz University in Czestochowa , Armii Krajowej 13/15, 42-200 , Czestochowa , Poland

2. Institute of Law , Administration and Management Jan Dlugosz University in Czestochowa , Zbierskiego 2/4, 42-200 , Czestochowa , Poland

Abstract

Abstract Time-fractional diffusion equation with mass absorption and the harmonic source term is studied under zero initial conditions. The Caputo derivative of the order 0 < α ≤ 2 is used. Different formulation of the problem for integer values α = 1 and α = 2 are discussed. The integral transform technique is used. The results of numerical calculations are illustrated graphically.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2018-0008/pdf

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