Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
This paper is devoted to the existence of multiple positive solutions for fractional boundary value problem DC0+αu(t)=f(t,u(t),u′(t)), 0 Firstly, by constructing a special cone, applying Guo-Krasnoselskii’s fixed point theorem and Leggett-Williams fixed point theorem, some new existence criteria for fractional boundary value problem are established; secondly, by applying a new extension of Krasnoselskii’s fixed point theorem, a sufficient condition is obtained for the existence of multiple positive solutions to the considered boundary value problem from its auxiliary problem. Finally, as applications, some illustrative examples are presented to support the main results.
American Psychological Association (APA)
Zhao, Daliang& Liu, Yansheng. 2013. Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1032960
Modern Language Association (MLA)
Zhao, Daliang& Liu, Yansheng. Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems. The Scientific World Journal No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1032960
American Medical Association (AMA)
Zhao, Daliang& Liu, Yansheng. Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1032960
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032960