On the generalized Hardy–Hardy–Maurer model with memory effects

详细信息    查看全文

• 作者：Roberto Garra
• 关键词：Nonlinear heat waves ; Heat conduction with memory ; Nonlinear fractional differential equations
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：86
• 期：2
• 页码：861-868
• 全文大小：472 KB
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：86

文摘

In this paper, we reconsider the Hardy–Hardy–Maurer model for the heat propagation in nonlinear rigid conductors in the framework of fractional thermoelasticity, taking into account memory effects. We therefore obtain nonlinear time-fractional telegraph-type equations that are linearizable by change in variable. We discuss in detail two different models in the context of the more general theory of Gurtin and Pipkin of heat propagation with memory. We finally show that a similar derivation of linearizable fractional telegraph-type equations of higher order can be obtained also in the physics of dielectrics.