期刊文献+

Viscoelastic Rod Vibration Problem when Constitutive Relationship Contains a Fractional Derivative and its Limiting Case

Viscoelastic Rod Vibration Problem when Constitutive Relationship Contains a Fractional Derivative and its Limiting Case
下载PDF
导出
出处 《Journal of Mathematics and System Science》 2014年第5期372-376,共5页 数学和系统科学(英文版)
关键词 本构关系 粘弹性杆 分数导数 振动问题 极限 运动方程 分数阶导数 抛物线方程 Fractional order derivative viscoelastic material equation of motion.
  • 相关文献

参考文献10

  • 1I. Podlubny, Fractional differential equations (an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications). Academic Press, San-Diego- Boston-New York-London-Sydley-Tokyo-Toronto, 1999.
  • 2A.N. Tikhonov, A.A. Samarski. Equations of mathematical physics. (Russian), Nauka, Moscow, 1977, 735.
  • 3H. Bateman and A. Erdelyi, A. Tables of Integral Transforms, vol.l, McGraw - Hill Book Co., New York, 1954.
  • 4V.Bitsadze. Equations of mathematical physics. (Russian) Nauka, Moscow, Main Editorial Office of Physical and Mathematical Literature, 1982.
  • 5K.B. Oldham, J. Spanier, The Fractional Calculus, Academic Press, New York, NY, usA, 1974.
  • 6S.G. Samko, A.A. Kilbas and O.I. Marichev, Integrals and derivatives of the fractional order and some of their applications.(Russian), Nauka i Teknika, Minsk, Belasrus, 1987.
  • 7Kai Diethelm, The Analysis of fractional diffedrentiale Equations, Springer, 2004.
  • 8Abdon Atangana, Aydin Secer, A Note of fractional order derivatives andtable of fractional derivatives of some special functions. Abstract and Applied Analysis, (2013), Article ID 279681, 8.
  • 9Francesco Mainardi, Fractional calculus and waves inl Linear viscoelasticity, Imperial College Press, 2011.
  • 10D. Blend, Theory of linear viscoelasticity. Mir, Moscow, 1965.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部