Existence of solutions for some two-point fractional boundary value problems under barrier strip conditions

被引：5
|
作者：
Li, Zhiyu [1 ]
Bai, Zhanbing [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2019年 / 2019卷 / 01期
关键词：
Barrier strips; Conformable fractional derivative; Boundary value problems; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS;
D O I：
10.1186/s13661-019-01307-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are dedicated to researching the boundary value problems (BVPs) for equation D(alpha)x(t) = f(t,x(t),D alpha-1 x(t)), with the boundary value conditions to be either: x(0) = A, D alpha-1 x(1) = B or D alpha-1 x(0) = A, x(1) = B. Let the nonlinear term f satisfy some sign conditions, then by making use of the Leray Schauder nonlinear alternative, some existence results are obtained. In the end, an example is given to verify the main results.
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页数：8
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