Two-point boundary value problems for finite fractional difference equations

被引：218

作者：

Atici, Ferhan M. ^{[2
]}

Eloe, Paul W. ^{[1
]}

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

[2] Western Kentucky Univ, Dept Math & Comp Sci, Bowling Green, KY 42101 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2011年 / 17卷 / 04期

关键词：

discrete fractional calculus; Green's function; existence of solutions; two-point boundary value problem; POSITIVE SOLUTIONS;

D O I：

10.1080/10236190903029241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation. We invert the problem and construct and analyse the corresponding Green's function. We then provide an application and obtain sufficient conditions for the existence of positive solutions for a two-point boundary value problem for a nonlinear finite fractional difference equation.

引用

页码：445 / 456

页数：12

共 16 条

[1]

[Anonymous], 1993, INTRO FRACTIONAL CA

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3]

[Anonymous], 1993, THEORY APPL

[4]

Atici F M., 2007, International Journal of Difference Equations, V2, P165

[5] Fractional q-calculus on a time scale [J].

Atici, Ferhan M. ;

Eloe, Paul W. .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2007, 14 (03) :333-344

[6]

Atici FM, 2009, P AM MATH SOC, V137, P981

[7] Existence of positive solutions of nonlinear fractional differential equations [J].

Babakhani, A ;

Daftardar-Gejji, V .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 278 (02) :434-442

[8] Positive solutions for boundary value problem of nonlinear fractional differential equation [J].

Bai, ZB ;

Lü, HS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (02) :495-505

[9]

Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1

[10]

Guo D., 1988, NONLINEAR PROBLEMS A

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