期刊文献+

SOME PROBLEMS OF FRACTIONAL PARTIAL DIFFERENCE DIFFUSION EQUATIONS 被引量:2

SOME PROBLEMS OF FRACTIONAL PARTIAL DIFFERENCE DIFFUSION EQUATIONS
原文传递
导出
摘要 This paper mainly discusses the problems of fractional variational problems and fractional diffusion problems using fractional difference and summation. Through the Euler finite difference method we get a variational formulation of the variation problem and the discrete solution to the time-fractional and space-fractional difference equation using separating variables method and two-side Z-transform method. This paper mainly discusses the problems of fractional variational problems and fractional diffusion problems using fractional difference and summation. Through the Euler finite difference method we get a variational formulation of the variation problem and the discrete solution to the time-fractional and space-fractional difference equation using separating variables method and two-side Z-transform method.
作者 Jinfa Cheng
机构地区 Dept.of Math.
出处 《Annals of Differential Equations》 2014年第1期5-14,共10页 微分方程年刊(英文版)
关键词 fractional difference fractional summation fractional variation pro-blem fractional partial difference diffusion equations fractional difference fractional summation fractional variation pro-blem fractional partial difference diffusion equations
  • 相关文献

参考文献1

二级参考文献14

  • 1Hale J K. Ordinary Differential Equations. New York: Wiley, 1969. 被引量:1
  • 2Hartman P. Ordinary Differential Equations. Second Edition. Boston-Basel-Stuttgaxt: Birkhauser, 1982. 被引量:1
  • 3Agarwal R P. Difference Equations and Inequalities. Marcel Dekker, Inc., Newyork, 1992. 被引量:1
  • 4Samko S G, Kilbas A A, Maritchev O I. Integrals and Derivatives of the Fractional order and Some of their Applications. Minsk: Naukai Tekhnika, 1987. 被引量:1
  • 5Miller K S, Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations. New York: John Wiley and Sons, 1993. 被引量:1
  • 6Podlubny I. Fractional Differential Equations. San Diego: Acad Press, 1999. 被引量:1
  • 7Kilbas A A, Srivastava H M, Trujillo J J. Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies,204,Elsevier, 2006. 被引量:1
  • 8Mainardi F, Gorenflo R. On Mittag-Leffler-type functions in fractional evolution processes. J. Cornput. Appl. Math., 2000, 118: 283-299. 被引量:1
  • 9Diethelm K, Ford N J. Multi-order Fractional Differential Equations and their Numerical Solution. Appl. Math. Comput., 2004, 154:621-640. 被引量:1
  • 10Daftardar-Gejji V, Babakhani A. Analysis of a System of Fractional Differential Equations. J. Math. Anal. Appl., 2004, 293:511-522. 被引量:1

共引文献8

同被引文献10

引证文献2

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