New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions. (20th July 2010)

• Record Type: Journal Article
• Authors: Feng, Meiqiang; Zhang, Xuemei; Ge, WeiGao
• Other Names: Minhós Feliz Manuel Academic Editor.
• Is Part Of: Boundary value problems. Volume 2011(2011)
• Publication Date: 2010-07-20
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2011/720702
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying Krasnoselskii's fixed-point theorem in cones. The nonexistence of positive solutions is also studied.