Positive solutions for integral boundary value problem of two-term fractional differential equations

被引:23
作者
Xu, Mengrui [1 ]
Han, Zhenlai [1 ]
机构
[1] Univ Jinan, Sch Math Sci, Jinan, Shandong, Peoples R China
关键词
Fractional differential equations; Boundary value problem; Positive solutions; UNIQUENESS; EXISTENCE;
D O I
10.1186/s13661-018-1021-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate a class of nonlinear two-term fractional differential equations involving two fractional orders delta is an element of ( 1, 2] and tau is an element of( 0, d) with integral boundary value conditions. By the Schauder fixed point theorem we obtain the existence of positive solutions based on the method of upper and lower solutions. Then we obtain the uniqueness result by the Banach contraction mapping principle. Examples are given to illustrate our main results.
引用
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页数:13
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