Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions

In this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary condition. Our results are based on the Banach contraction mapping principle and the Krasnoselskii f...

Full description

Saved in:
Bibliographic Details
Published inBoundary value problems Vol. 2017; no. 1; pp. 1 - 15
Main Authors Zuo, Mingyue, Hao, Xinan, Liu, Lishan, Cui, Yujun
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 03.11.2017
Hindawi Limited
SpringerOpen
Subjects
Analysis
antiperiodic boundary value problems
Approximations and Expansions
Boundary conditions
Difference and Functional Equations
Differential equations
existence results
Fixed points (mathematics)
fractional integro-differential equations
impulsive
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Uniqueness
impulsive
antiperiodic boundary value problems
fractional integro-differential equations
existence results
Online AccessGet full text

Cover

More Information
Summary:In this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary condition. Our results are based on the Banach contraction mapping principle and the Krasnoselskii fixed point theorem. Some examples are also given to illustrate our results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-017-0892-8