Positive Solutions for Boundary Value Problems of Fractional Differential Equation with Integral Boundary Conditions. (22nd April 2018)

• Record Type: Journal Article
• Authors: Sun, Qiao; Ji, Hongwei; Cui, Yujun
• Other Names: Gopal Dhananjay Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-04-22
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/6461930
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : By using two fixed-point theorems on cone, we discuss the existence results of positive solutions for the following boundary value problem of fractional differential equation with integral boundary conditions:D 0 + α x ( t ) + a ( t ) f ( t, x ( t ) ) = 0, t ∈ ( 0, 1 ), x ( 0 ) = x ′ ( 0 ) = 0, andx ( 1 ) = ∫ 0 1 x ( t ) d A ( t ) .