Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (4): 697-715.

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An Existence Result for Impulsive Boundary Value Problem for Fractional Differential Equations with Multiple Base Points

Wang Huiwen, Zeng Hongjuan, Li Fang   

  1. School of Mathematics, Yunnan Normal University, Kunming 650500
  • Received:2016-09-18 Revised:2017-08-26 Online:2018-08-26 Published:2018-08-26
  • Supported by:
    Supported by the NSFC (11561077, 11471227) and the Reserve Talents of Young and MiddleAged Academic and Technical Leaders of the Yunnan Province (2017HB021)

Abstract: In this paper, we study the existence of solutions for impulsive boundary value problem for nonlinear multiple base points differential equations of fractional order α ∈ (1, 2). By using some well-known fixed point theorem, we obtain an existence result on solution under the weak assumption. Three examples are given to illustrate the existence theorems.

Key words: Nonlinear multiple base points fractional differential equations, Impulse, Boundary value problem

CLC Number: 

  • O175.8
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