Variational principle, uniqueness and reciprocity theorems for higher order time-fractional four-phase-lag generalized thermoelastic diffusion model

被引：9

作者：

Molla, Md Abul Kashim ^{[1
]}

Mallik, Sadek Hossain ^{[1
]}

机构：

[1] Aliah Univ, Dept Math & Stat, Kolkata, India

来源：

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES | 2023年 / 51卷 / 04期

关键词：

Four-phase-lag generalized thermoelastic diffusion; higher order time-fractional Caputo derivative; reciprocity theorem; uniqueness theorem; variational principle; 74F;

D O I：

10.1080/15397734.2021.1882311

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：1904 / 1919

页数：16

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