A half-space problem in the fractional order theory of thermoelastic diffusion

被引：0

作者：

Department of Mathematics, Faculty of Science and Arts - Khulais, University of Jeddah, Jeddah ^{[1
]}

21921, Saudi Arabia

不详 ^{[2
]}

21589, Saudi Arabia

不详 ^{[3
]}

82524, Egypt

不详 ^{[4
]}

21589, Saudi Arabia

机构：

[1] Department of Mathematics, Faculty of Science and Arts - Khulais, University of Jeddah, Jeddah

[2] Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah

[3] Department of Mathematics, Faculty of Science, Sohag University, Sohag

[4] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box. 80203, Jeddah

来源：

J. Comput. Theor. Nanosci. | / 11卷 / 4803-4808期

关键词：

Eigenvalue approach; Fractional order; Laplace transform; Thermoelastic diffusion;

D O I：

10.1166/jctn.2015.4442

中图分类号：

学科分类号：

摘要：

In this work, a general solution to the field equations of generalized thermoelastic diffusion in a halfspace is considered in the context of fractional order theory of thermoelastic diffusion. The bounding surface of the half-space is taken to be traction free and subjected to a time dependent thermal shock while the chemical potential is assumed to be a known function of time. Laplace transform techniques are used. The analytical solution in the transform domain is obtained by using the eigenvalue approach. Numerical results for the temperature, the displacement, the concentration, stress and chemical potential represented graphically. © 2015 American Scientific Publishers.

引用

页码：4803 / 4808

页数：5

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