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Abstrakty
The present work is concerned with the boundary integral equation formulation for the solutions of equations under fractional order thermo elasticity in a three dimensional Euclidean space. A mixed initial-boundary value problem is considered and the fundamental solutions of the corresponding coupled differential equations are obtained in the Laplace transform domain. We employ one reciprocal relation in the present context and formulate the boundary integral equations on the basis of our fundamental solutions.Then the formulation is illustrated with a suitable example.
Rocznik
Tom
Strony
49--58
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
- Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi-221 005, India
autor
- Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi-221 005, India
Bibliografia
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- [12] M. Tanaka, T. Matsumoto and M. Moradi, Application of boundary element method to 3-D problems of coupled thermoelasticity, Eng. Anal. Boundary. Elem. 16, 297-303 (1995).
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- [16] A.S. El-Karamany and M.A. Ezzat, Boundary Integral equation formulation for the generalized thermoviscoelasticity with two relaxation times, Appl. Math. Comput. 151,347-362 (2004).
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- [21] I. Podlubny, Fractional differential equations. An introduction to fractional order derivatives, Fractional differential equations, some methods of their solutions and some of their applications. London-Tokyo-Toronto, Academic Press Volume 198, (1999).
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Typ dokumentu
Bibliografia
Identyfikator YADDA
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