Multiple Solutions for a Nonlinear Fractional Boundary Value Problem via Critical Point Theory
Joint Authors
Wang, Yang
Liu, Yansheng
Cui, Yujun
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper is concerned with the existence of multiple solutions for the following nonlinear fractional boundary value problem: DT-αaxD0+αux=fx,ux, x∈0,T, u0=uT=0, where α∈1/2,1, ax∈L∞0,T with a0=ess infx∈0,Tax>0, DT-α and D0+α stand for the left and right Riemann-Liouville fractional derivatives of order α, respectively, and f:0,T×R→R is continuous.
The existence of infinitely many nontrivial high or small energy solutions is obtained by using variant fountain theorems.
American Psychological Association (APA)
Wang, Yang& Liu, Yansheng& Cui, Yujun. 2017. Multiple Solutions for a Nonlinear Fractional Boundary Value Problem via Critical Point Theory. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1176619
Modern Language Association (MLA)
Wang, Yang…[et al.]. Multiple Solutions for a Nonlinear Fractional Boundary Value Problem via Critical Point Theory. Journal of Function Spaces No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1176619
American Medical Association (AMA)
Wang, Yang& Liu, Yansheng& Cui, Yujun. Multiple Solutions for a Nonlinear Fractional Boundary Value Problem via Critical Point Theory. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1176619
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176619