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

页码：455 / 461

页数：7

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