Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions

被引：12
|
作者：
Tariboon, Jessada [1 ]
Ntouyas, Sotiris K. [2 ]
Sudsutad, Weerawat [1 ]
机构：
[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok, Thailand
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
fractional differential equations; nonlocal boundary conditions; positive solutions; fixed point theorem;
D O I：
10.1186/1687-1847-2014-28
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned with the existence of at least one, two or three positive solutions for the boundary value problem with three-point multi-term fractional integral boundary conditions: { D(q)u(t) + f(t,u(t) = 0, 1 < q <= 2, 0 < t <1, u(0) = 0, u(1) = Sigma(m)(i=1) alpha(I-pi u)(eta) 0 < eta < 1, where D-q is the standard Riemann-Liouville fractional derivative. Our analysis relies on the Krasnoselskii fixed point theorem and the Leggett-Williams fixed point theorem. Some examples are also given to illustrate the main results.
引用
收藏
页数：17
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