Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions. (1st October 2018)

• Record Type: Journal Article
• Authors: Jiang, Jiqiang; Liu, Weiwei; Wang, Hongchuan
• Other Names: Zhang Xinguang Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-10-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/6598351
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, by using the spectral analysis of the relevant linear operator and Gelfand's formula, some properties of the first eigenvalue of a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for the existence of positive solutions are established. An example is given to demonstrate the application of our main results.