Abstract
In this work, the solution of the two temperature dual-lag-phase model in half space under the uncertain thermal loading at boundary has been discussed. A system of fuzzy partial differential equations arise due to study. System of fuzzy partial differential equations are solved by assuming all the partial derivatives as one differentiable. Laplace transformation is used to solve the partial differential equations related to the problem and using the eigen value approach, the system of ordinary differential equations in Laplace transformed domain is solved. The inverse of such Laplace transformations are carried out by the help of numerical computation. The observations based upon the numerical results are illustrated graphically for stress, strain, temperatures and displacement distributions.
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