A NEW GENERAL FRACTIONAL-ORDER DERIVATAIVE WITH RABOTNOV FRACTIONAL-EXPONENTIAL KERNEL APPLIED TO MODEL THE ANOMALOUS HEAT TRANSFER
作者: Xiao-Jun Yang Mahmoud Abdel-Aty Carlo Cattani
刊名: Thermal Science, 2019, Vol.23 (3A/2019), pp.1677-1681
来源数据库: Society for Thermal Engineers of Serbia
DOI: https://doi.org/10.2298/TSCI180320239Y
关键词: General fractional-order derivataiveRabotnov fractional exponential functionHeat transferNon-singular kernelPower law
原始语种摘要: In this paper, we consider a general fractional-order derivataive of the Liouville-Caputo type with the non-singular kernel of the Rabotnov fractional-exponential function for the first time. A new general fractional-order derivataive heat transfer model is discussed in detail. The general fractional-order derivataive formula is a new mathematical tool proposed to model the anomalous behaviors in complex and power-law phenomena.
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关键词翻译
  • 详情 现象
  • fractional 分级的
  • kernel 
  • exponential 指数的
  • singular 奇异的
  • general 普遍的
  • phenomena 现象
  • detail 现象
  • consider 仔细考虑
  • mathematical 数学的
  • General 通用牌汽车