拉普拉斯变换
热弹性阻尼
分数阶微积分
激发
背景(考古学)
物理
传热
数学分析
热的
机械
数学
量子力学
热力学
生物
古生物学
作者
Osama Moaaz,Ahmed E. Abouelregal,Meshari Alesemi
出处
期刊:Mathematics
[Multidisciplinary Digital Publishing Institute]
日期:2022-08-27
卷期号:10 (17): 3087-3087
被引量:6
摘要
By considering the Moore–Gibson–Thompson (MGT) equation, the current work introduces a modified fractional photothermal model. The construction model is based on the proportional Caputo fractional derivative, which is a new definition of the fractional derivative that is simple and works well. In addition, the theory of heat transfer in semiconductor materials was used in the context of optical excitation transfer and plasma processes. The proposed model was used to investigate the interaction of light and heat within a magnetized semiconductor sphere rotating at a constant angular speed. The Laplace transform was used to obtain solutions for optical excitation induced by physical field variables. Using a numerical method, Laplace transforms can be reversed. The figures show the effects of carrier lifetime, conformable fractional operator, and rotation on thermal and mechanical plasma waves, which are shown in the graphs. The theory’s predictions were compared and extensively tested against other existing models.
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