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Ground State Solutions for a Class of Fractional Differential Equations with Dirichlet Boundary Value Condition

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  • Zhigang Hu
  • Wenbin Liu
  • Jiaying Liu

Abstract

In this paper, we apply the method of the Nehari manifold to study the fractional differential equation , a.e. and where are the left and right Riemann-Liouville fractional integrals of order , respectively. We prove the existence of a ground state solution of the boundary value problem.

Suggested Citation

  • Zhigang Hu & Wenbin Liu & Jiaying Liu, 2014. "Ground State Solutions for a Class of Fractional Differential Equations with Dirichlet Boundary Value Condition," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, July.
    • Handle: RePEc:hin:jnlaaa:958420
    DOI: 10.1155/2014/958420
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