Existence and Multiplicity of Solutions for Some Fractional Boundary Value Problem via Critical Point Theory

Jing Chen and X. H. Tang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We study the existence and multiplicity of solutions for the following fractional boundary value problem: (d/dt)((1/2) 0Dt-β(u′(t))+(1/2) tDT-β(u′(t)))+∇F(t,u(t))=0000, a.e. t∈[,T], u()=u(T)=, where F(t, ·) are superquadratic, asymptotically quadratic, and subquadratic, respectively. Several examples are presented to illustrate our results.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/648635

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:648635

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().