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

被引：26

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 [J].

Daftardar-Gejji, V ;

Babakhani, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (02) :511-522

[7] Multi-order fractional differential equations and their numerical solution [J].

Diethelm, K ;

Ford, NJ .

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 [J].

Ibrahim, Rabha W. ;

Momani, Shaher .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :1-10

← 1 2 →