Some new existence results for fractional differential inclusions with boundary conditions

被引：210

作者：

Chang, Yong-Kui ^{[1
]}

Nieto, Juan J. ^{[2
]}

机构：

[1] Lanzhou Jiaotong Univ, Sch Math Phys & Software Engn, Lanzhou 730070, Gansu, Peoples R China

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 3-4期

关键词：

Fractional differential inclusions; Boundary conditions; Fixed point; POSITIVE SOLUTION; EQUATIONS; UNIQUENESS; ORDERS; SET;

D O I：

10.1016/j.mcm.2008.03.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is mainly concerned with the existence of solutions for a certain class of fractional differential inclusions with boundary conditions. By using Bohnenblust-Karlin's fixed point theorem, a main existence theorem is obtained. As an application of this main theorem, we establish two existence results when the multi-valued nonlinearity F has sublinear or linear growth in the state variable y. Our results are even new when applied to a corresponding single-valued problem. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：605 / 609

页数：5

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