Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions

被引：0
|
作者：
Nyamoradi, N. [1 ]
Dizaji, H. Alaei [2 ]
机构：
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
[2] Payame Noor Univ, Dept Math, Tehran, Iran
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2014年 / 38卷 / A4期
关键词：
Cone; fixed point theorem; standard Caputo; derivative; POSITIVE SOLUTIONS; CALCULUS APPROACH; HIGHER-ORDER; SYSTEM;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, by employing the Guo-Krasnoselskii fixed point theorem in a cone, we study the existence of positive solutions to the following nonlocal fractional boundary value problems { (c)D(0)(+)(alpha)u(t) = f(t, u(t)), t is an element of (0,1), u(t) + u'(0) = 1/2[H-1 (phi(u)) + integral(E) H-2 (s, u(s))ds], u (1) + u'(1) = 0, where D-c(0)+(alpha) is the standard Caputo derivative of order alpha,1 < alpha < 2, E subset of (0,1) is some measurable set. We provide conditions on f, H-1, H-2 and phi such that the problem exhibits at least one positive solution.
引用
收藏
页码：455 / 461
页数：7
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