Multiple positive solutions for (n-1, 1)-type semipositone conjugate boundary value problems of nonlinear fractional differential equations

被引:0
作者
Yuan, Chengjun [1 ]
机构
[1] Harbin Univ, Sch Math & Comp, Harbin 150086, Heilongjiang, Peoples R China
关键词
Riemann-Liouville's fractional derivative; fractional differential equation; boundary value problem; positive solution; fractional Green's function; fixed-point theorem; EXISTENCE; UNIQUENESS; CALCULUS; ORDER;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider (n-1, 1)-type conjugate boundary value problem for the nonlinear fractional differential equation D(0+)(alpha)u(t) + lambda f(t,u(t)) = 0, 0 < t < 1, lambda > 0, u((j))(0) = 0, 0 <= j <= n - 2, u(1) = 0, where lambda is a parameter, alpha is an element of (n-1, n] is a real number and n >= 3, and D(0+)(alpha) is the Riemann-Liouville's fractional derivative, and f is continuous and semipositone. We give properties of Green's function of the boundary value problems, and derive an interval of lambda such that any lambda lying in this interval, the semipositone boundary value problem has multiple positive solutions.
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页码:1 / 12
页数:12
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