Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations
Joint Authors
Han, Zhen-Lai
Li, Qiuping
Sun, Shurong
Zhao, Yige
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-26
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We study the existence of positive solutions for the boundary value problem of nonlinear fractional differential equations D0+αu(t)+λf(u(t))=0, 0 By the properties of the Green function and Guo-Krasnosel'skii fixed point theorem on cones, the eigenvalue intervals of the nonlinear fractional differential equation boundary value problem are considered, some sufficient conditions for the nonexistence and existence of at least one or two positive solutions for the boundary value problem are established. As an application, some examples are presented to illustrate the main results.
American Psychological Association (APA)
Zhao, Yige& Sun, Shurong& Han, Zhen-Lai& Li, Qiuping. 2010. Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-468328
Modern Language Association (MLA)
Zhao, Yige…[et al.]. Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-468328
American Medical Association (AMA)
Zhao, Yige& Sun, Shurong& Han, Zhen-Lai& Li, Qiuping. Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis. 2010. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-468328
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468328