SOLVABILITY OF DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEMS

被引：0

作者：

Jianing Xu

Xue Gong

Chengmin Hou

机构：

[1] DeptofMath,YanbianUniversity

来源：

AnnalsofAppliedMathematics | 2015年 / 31卷 / 02期

关键词：

fractional difference; boundary value problem; coincidence degree theory; matrix theory;

D O I：

暂无

中图分类号：

O241.8 [微分方程、积分方程的数值解法];

学科分类号：

070102 ;

摘要：

In this paper, by introducing a new approach, we investigate a discrete fractional boundary value problem. We transform a fractional nonlinear difference equation on a finite discrete segment with boundary conditions into a system, and obtain some conditions for the existence of solutions to the equation, based on coincidence degree theory and matrix theory but not on Green's function.

引用

页码：225 / 235

页数：11

共 16 条

[1]

Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach[J] . Zuoshi Xie,Yuanfeng Jin,Chengmin Hou,Lishan Liu.Abstract and Applied Analysis . 2012

[2]

On a fractional boundary value problem with fractional boundary conditions[J] . Christopher S. Goodrich.Applied Mathematics Letters . 2011 (8)

[3] On a discrete fractional three-point boundary value problem [J].

Goodrich, Christopher S. .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2012, 18 (03) :397-415

[4] Solvability of fractional three-point boundary value problems with nonlinear growth [J].

Bai, Zhanbing ;

Zhang, Yinghan .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) :1719-1725

[5]

On discrete sequential fractional boundary value problems[J] . Christopher S. Goodrich.Journal of Mathematical Analysis and Applications . 2011 (1)

[6] Two-point boundary value problems for finite fractional difference equations [J].

Atici, Ferhan M. ;

Eloe, Paul W. .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (04) :445-456

[7] Modeling with fractional difference equations [J].

Atici, Ferhan M. ;

Senguel, Sevgi .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) :1-9

[8]

Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions[J] . Christopher S. Goodrich.Computers and Mathematics with Applications . 2010 (2)

[9] Continuity of solutions to discrete fractional initial value problems [J].

Goodrich, Christopher S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (11) :3489-3499

[10]

Initial value problems in discrete fractional calculus[J] . Ferhan M. Atici,Paul W. Eloe.proc . 2008 (3)

← 1 2 →