Existence of solution to a class of boundary value problem for impulsive fractional differential equations

被引：7
|
作者：
Zhou, Wen-Xue [1 ,2 ]
Liu, Xu [1 ]
机构：
[1] Lanzhou Jiaotong Univ, Coll Math & Phys, Lanzhou 730070, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
boundary value problem; impulsive fractional differential equations; Caputo fractional derivative; existence of solutions; fixed point theorem; POSITIVE SOLUTIONS; ORDER;
D O I：
10.1186/1687-1847-2014-12
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of the Green function, the boundary value problem of a fractional differential equation can be reduced to the equivalent integral equation. Recently, this method has been used successfully to discuss the existence of the solution to the boundary value problem of a nonlinear fractional differential equation. By applying the nonlinear alternative of the Leray-Schauder type and the Krasnoselskii fixed point theorem, we investigate the boundary value problem of a nonlinear impulsive fractional differential equation, and we obtain two existence results for the solution.
引用
下载
收藏
页数：12
相关论文
共 50 条
  • [1] Existence of solution to a class of boundary value problem for impulsive fractional differential equations
    Wen-Xue Zhou
    Xu Liu
    Advances in Difference Equations, 2014
  • [2] Existence of solution to boundary value problem for impulsive differential equations
    Teng, Kaimin
    Zhang, Chao
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 4431 - 4441
  • [3] Existence of solutions to boundary value problem for impulsive fractional differential equations
    Bonanno, Gabriele
    Rodriguez-Lopez, Rosana
    Tersian, Stepan
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (03) : 717 - 744
  • [4] Existence of solutions to boundary value problem for impulsive fractional differential equations
    Gabriele Bonanno
    Rosana Rodríguez-López
    Stepan Tersian
    Fractional Calculus and Applied Analysis, 2014, 17 : 717 - 744
  • [5] Existence of Solution for Boundary Value Problem of Impulsive Differential Equations in Banach Spaces
    Ji, Dehong
    Ge, Weigao
    ADVANCES IN COMPUTER SCIENCE AND ENGINEERING, 2012, 141 : 255 - +
  • [6] Existence of solution to a periodic boundary value problem for a nonlinear impulsive fractional differential equation
    Belmekki, Mohammed
    Nieto, Juan J.
    Rodriguez-Lopez, Rosana
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2014, (16) : 1 - 27
  • [7] Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations
    Yige Zhao
    Yuzhen Wang
    Advances in Difference Equations, 2014
  • [8] Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations
    Zhao, Yige
    Wang, Yuzhen
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [9] Existence of positive solution to a class of boundary value problems of fractional differential equations
    Ali, Amjad
    Shah, Kamal
    Khan, Rahmat Ali
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2016, 4 (01): : 19 - 29
  • [10] Impulsive Boundary Value Problem for Differential Equations with Fractional Order
    Tian Y.
    Bai Z.
    Differential Equations and Dynamical Systems, 2013, 21 (3) : 253 - 260
12345