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

共 50 条

[31] SOME EXISTENCE RESULTS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Obukhovskii, Valeri
Yao, Jen-Chih
FIXED POINT THEORY, 2010, 11 (01): : 85 - 96
[32] Existence and uniqueness results for fractional differential equations with delay and impulsive effects
Wu, Jun
Liu, Yicheng
2010 6TH INTERNATIONAL CONFERENCE ON WIRELESS COMMUNICATIONS NETWORKING AND MOBILE COMPUTING (WICOM), 2010,
[33] Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Neutral Functional Differential Equations with Infinite Delays
Anguraj, A.
Vinodkumar, A.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (67) : 1 - 13
[34] Existence results for second order impulsive functional differential inclusions
Chang, YK
Li, WT
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 301 (02) : 477 - 490
[35] Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions
Li, Meili
Kou, Chunhai
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009 : 1 - 11
[36] On the Existence of Solutions for Impulsive Fractional Differential Equations
Guan, Yongliang
Zhao, Zengqin
Lin, Xiuli
ADVANCES IN MATHEMATICAL PHYSICS, 2017, 2017
[37] Existence of Positive Periodic Solutions to Impulsive Functional Differential Equations with Double Delays
Zhu, Xiuli
Xu, Zhonghai
2015 2ND INTERNATIONAL CONFERENCE ON MECHATRONIC SYSTEMS AND MATERIALS APPLICATION (ICMSMA 2015), 2015, : 155 - 158
[38] Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions
Fu, Xi
Liu, Xiaoyou
ABSTRACT AND APPLIED ANALYSIS, 2013,
[39] Impulsive fractional functional differential equations
Guo, Tian Liang
Jiang, Wei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3414 - 3424
[40] Existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay
Ouahab, Abdelghani
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (04) : 1027 - 1041

← 1 2 3 4 5 →