Existence results for fractional order impulsive functional differential equations with multiple delays

被引:0
作者
Huiping Fang
Mingzhu Song
机构
[1] Huangshan University,School of Mathematics and Statistics
[2] Tongling University,College of Mathematics and Computer Science
来源
Advances in Difference Equations | / 2018卷
关键词
Fractional order functional differential equations; Impulsive; Fixed point theorem; 34A34;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study the solution of impulsive fractional differential equations with multiple delays by using the nonlinear alternative of Leray–Schauder and the Banach fixed point method. Also, we prove that the equations have at least one solution or unique solution with certain conditions. In the last part, we give two examples to illustrate the usefulness of the main results.
引用
收藏
相关论文
共 31 条
[1]  
Kosmatov N.(2009)Integral equations and initial value problems for nonlinear differential equations of fractional order Nonlinear Anal. 70 2521-2529
[2]  
Zhang S.Q.(2006)Existence of solution for a boundary value problem of fractional order Acta Math. Sci. 26 220-228
[3]  
Lv Z.W.(2010)Solutions to fractional differential equations with nonlocal initial condition in Banach spaces Adv. Differ. Equ. 2010 1251-1268
[4]  
Liang J.(2011)Existence of a positive solution to systems of differential equations of fractional order Comput. Math. Appl. 62 85-92
[5]  
Xiao T.J.(2012)Existence of positive solutions for the boundary value problem of nonlinear fractional differential equations Commun. Nonlinear Sci. Numer. Simul. 17 145-160
[6]  
Goodrich C.S.(2016)Existence of solutions of four-point boundary value problems for fractional differential equations at resonance J. Appl. Math. Comput. 51 239-244
[7]  
Yang X.(2008)Existence and uniqueness of fractional functional differential equations with unbounded delay Int. J. Dyn. Syst. Differ. Equ. 1 3249-3256
[8]  
Wei Z.L.(2009)Existence and uniqueness for fractional neutral differential equations with infinite delay Nonlinear Anal. 71 456-472
[9]  
Dong W.(2006)Local and global existence and uniqueness results for impulsive functional differential equations with multiple delay J. Math. Anal. Appl. 323 539-550
[10]  
Tang X.S.(2009)Functional differential equations of fractional order with state-dependent delay Dyn. Syst. Appl. 18 3050-3060