Ground State Solutions for a Class of Fractional Differential Equations with Dirichlet Boundary Value Condition
Joint Authors
Hu, Zhigang
Liu, Wenbin
Liu, Jiaying
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper, we apply the method of the Nehari manifold to study the fractional differential equation (d/dt)((1/2) 0Dt-β(u′(t))+(1/2) tDT-β(u′(t)))= f(t,u(t)), a.e.
t∈[0,T], and u0=uT=0, where 0Dt-β, tDT-β are the left and right Riemann-Liouville fractional integrals of order 0≤β<1, respectively.
We prove the existence of a ground state solution of the boundary value problem.
American Psychological Association (APA)
Hu, Zhigang& Liu, Wenbin& Liu, Jiaying. 2014. Ground State Solutions for a Class of Fractional Differential Equations with Dirichlet Boundary Value Condition. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1015149
Modern Language Association (MLA)
Hu, Zhigang…[et al.]. Ground State Solutions for a Class of Fractional Differential Equations with Dirichlet Boundary Value Condition. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1015149
American Medical Association (AMA)
Hu, Zhigang& Liu, Wenbin& Liu, Jiaying. Ground State Solutions for a Class of Fractional Differential Equations with Dirichlet Boundary Value Condition. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1015149
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015149