Abstract

In the present paper, a variational principle is derived for the recently introduced higher order time-fractional four-phase-lag generalized thermoelastic diffusion model for a linear, isotropic and homogeneous thermoelastic diffusive continuum. Then uniqueness of the solution for the governing field equations of the considered model is proved under suitable conditions. Finally a reciprocity theorem is obtained for the said model.

中文翻译：

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高阶时间分数阶四相滞后广义热弹性扩散模型的变分原理、唯一性和互易定理

摘要

在本文中，针对最近引入的线性、各向同性和均匀热弹性扩散连续体的高阶时间分数四相滞后广义热弹性扩散模型推导了变分原理。然后在适当的条件下证明了所考虑模型的控制场方程解的唯一性。最后得到该模型的互易定理。