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(2,q)阶分数差分方程的解 被引量：4

The Solution of Fractional Difference Equations of Order(2,q)
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摘要 首次提出了一种分数阶差分,分数阶和分以及分数阶差分方程的定义,并给出(2,q)阶常系数分数阶差分方程的具体解法. We first present a kind of new definition of fractional difference,fractional summation,and fractional equations,give methods for explicitly solving fractional difference equations of order（2,q） by use of the method of undetermined coefficients.
作者 程金发 吴国春
机构地区 厦门大学数学科学学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2012年第3期469-480,共12页 Acta Mathematica Sinica：Chinese Series
基金 福建省自然科学基金资助项目(2011J01021) 中央高校基本科研业务费专项基金(2011121039)
关键词 分数阶差分 分数阶和分 分数(k q)阶差分方程 fractional difference fractional summation fractional difference equation of order（2 q）
分类号 O175 [理学—基础数学]
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二级参考文献14

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

共引文献8

同被引文献31

  • 1徐明瑜,谭文长.中间过程、临界现象——分数阶算子理论、方法、进展及其在现代力学中的应用[J].中国科学（G辑）,2006,36(3):225-238. 被引量：34
  • 2Abdeljawad T. On Riemann and Caputo fractional differences[J]. Comput Math Appl, 2011, 62(3): 1602-1611.
  • 3Atici F M, Sengiil S. Modeling with fractional difference equations[J]. J Math Anal Appl, 2010, 369(1): 1-9.
  • 4Cermk J, Kisela T, Nechvtal L. Stability and asymptotic properties of a linear fractional differ- ence equation[J]. Adv Differ Equ, 2012, 2012: 122.
  • 5Ferreira R A C. Positive solutions for a class of boundary value problems with fractional q- difference[J]. Comput Math Appl, 2011, 61(2): 367-37.3.
  • 6Goodrich C S. Existence and uniqueness of solutions to a fractional difference equation with non- local conditions[J]. Comput Math Appl, 2011, 61(2): 191-202.
  • 7Goodrich C S. On discrete sequential fractional boundary value problems[J]. J Math Anal Appl, 2012, 385(1): 111-124.
  • 8Jiang F C, Meng F W. Explicit bounds on some mew nonlinear integral inequalities with delay[J]. J Comput Appl Math, 2007, 205(1): 479-486.
  • 9Oldham K B, Spanier J. The Fractional Calculus[M]. New York: Acad Press, 1974.
  • 10Samko S G, Kilbas A A, Maritehev O I. Integrals and Derivatives of the Fractional Order and Some of their Applications[M]. Minsk: Naukai Tekhnika, 1987.

引证文献4

二级引证文献7

数学学报（中文版）
2012年 第3期

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