On the existence of positive solutions for fractional differential inclusions at resonance

被引：48

作者：

Hu, Lei ^{[1
]}

机构：

[1] Shandong Jiaotong Univ, Sch Sci, Jinan 250357, Peoples R China

来源：

SPRINGERPLUS | 2016年 / 5卷

关键词：

Fractional differential inclusions; Multi-valued operator; Positive solution; Resonance; BOUNDARY-VALUE PROBLEM; SOLVABILITY;

D O I：

10.1186/s40064-016-2665-8

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, we discuss the existence of positive solutions for a boundary value problem of fractional differential inclusions with resonant boundary conditions. By using the Leggett-Williams theorem for coincidences of multi-valued operators due to O'Regan and Zima, results on the existence of positive solutions are established. An example is given to illustrate the efficiency of the main theorems.

引用

页数：12

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