Existence and uniqueness of positive solutions to nonlinear fractional differential equation with integral boundary conditions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Existence and uniqueness of positive solutions to nonlinear fractional differential equation with integral boundary conditions

Authors:

Sihua Liang Yueqiang Song

Institution:

1. College of Mathematics, Changchun Normal University, Changchun, 130032, Jilin, PR China
2. Research Department, Changchun Normal University, Changchun, 130032, Jilin, PR China

Abstract:

In this paper, we consider the following nonlinear fractional three-point boundary-value problem:

20c D_{0 +}^a u(t) + f( t,u(t) ) = 0, 0 < t < 1, u(0) = u￠(0) = 0, u￠(1) = ò₀^h u(s)\textds, \begin{array}{{20}{c}} {D_{0 + }^\alpha u(t) + f\left( {t,u(t)} \right) = 0,\,\,\,\,0 < t < 1,} \\ {u(0) = u'(0) = 0,\,\,\,\,u'(1) = \int\limits_0^\eta {u(s){\text{d}}s,} } \\ \end{array}

Keywords:
本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏