Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem
Joint Authors
Xie, Wenzhe
Xiao, Jing
Luo, Zhiguo
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under the classical Nagumo conditions.
Also, some results concerning Riemann-Liouville fractional derivative at extreme points are established with weaker hypotheses, which improve some works in Al-Refai (2012).
As applications, an example is presented to illustrate our main results.
American Psychological Association (APA)
Xie, Wenzhe& Xiao, Jing& Luo, Zhiguo. 2014. Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014195
Modern Language Association (MLA)
Xie, Wenzhe…[et al.]. Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014195
American Medical Association (AMA)
Xie, Wenzhe& Xiao, Jing& Luo, Zhiguo. Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014195
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014195