On the Fractional Difference Equations of Order (2,q)

被引：25

作者：

Cheng, Jin-Fa ^{[2
]}

Chu, Yu-Ming ^{[1
]}

机构：

[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1155/2011/497259

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a kind of new definition of fractional difference, fractional summation, and fractional difference equations and gives methods for explicitly solving fractional difference equations of order (2,q).

引用

页数：16

共 14 条

[1] Agarwal RP., 1992, DIFFERENCE EQUATIONS
[2] [Anonymous], 2006, THEORY APPL FRACTION
[3] [Anonymous], 1995, Math. Mag.
[4] [Anonymous], 1999, FRACTIONAL DIFFERENT
[5] Cheng J.F., 2011, THEORY FRACTIONAL DI
[6] Analysis of a system of fractional differential equations
Daftardar-Gejji, V
Babakhani, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (02) : 511 - 522
[7] Multi-order fractional differential equations and their numerical solution
Diethelm, K
Ford, NJ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (03) : 621 - 640
[8] Hale JK., 1969, ORDINARY DIFFERENTIA
[9] Hartman P, 1982, Ordinary differential equations, VSecond
[10] On the existence and uniqueness of solutions of a class of fractional differential equations
Ibrahim, Rabha W.
Momani, Shaher
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 1 - 10

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