**Boundary Integral Equations Formulation for Fractional Order Thermoelasticity**

Tiwari Rakhi *, Mukhopadhyay Santwana

Department of Mathematical Sciences, Indian Institute of Technology

(Banaras Hindu University), Varanasi-221 005, India

*E-mail: rakhibhu2117@gmail.com

### Received:

Received: 10 March 2014; revised: 16 May 2014; accepted: 20 May 2014; published online: 24 June 2014

### DOI: 10.12921/cmst.2014.20.02.49-58

### Abstract:

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.

### Key words:

boundary integral equation method, fractional order thermoelasticity, fundamental solutions, thermoelasticity

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