Nonlinear fractional differential equations with integral boundary value conditions

被引：120

作者：

Cabada, Alberto ^{[1
]}

Hamdi, Zakaria ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela, Spain

[2] Badji Mokhtar Annaba Univ, Lab Appl Math, Annaba 23000, Algeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 228卷

关键词：

Fractional differential equations; Integral boundary conditions; Positive solution; Green function; Superlinear (sublinear) condition; POSITIVE SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE;

D O I：

10.1016/j.amc.2013.11.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in the study of the existence of the solutions of a class of nonlinear boundary value problem of fractional differential equations with integral boundary conditions. We make an exhaustive study of the sign of the related Green's function and obtain the exact values for which it is positive on the whole square of definition. The existence of solutions follows from the definition of suitable cones on Banach spaces. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：251 / 257

页数：7

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