Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions

Xiannan Luo ^[1] ; Shancui Guo ^[1]
1. [1] Xiangtan University
  
  Xiangtan University
  
  China
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 13, Nº 1, 2014, págs. 1-17
Idioma: inglés
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Resumen
- In this paper, we introduce a discrete fractional boundary value problem with fractional boundary value condition. We construct and deduce Green’s function for this problem satisfies certain properties. By means of some fixed point theorems, existence and uniqueness results of solutions are obtained.