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

© 2017, The Author(s). 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...

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Main Authors: Zuo, M., Hao, X., Liu, Lishan, Cui, Y.
Format: Journal Article
Published: SpringerOpen 2017
Online Access:http://hdl.handle.net/20.500.11937/63178
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author Zuo, M.
Hao, X.
Liu, Lishan
Cui, Y.
author_facet Zuo, M.
Hao, X.
Liu, Lishan
Cui, Y.
author_sort Zuo, M.
building Curtin Institutional Repository
collection Online Access
description © 2017, The Author(s). 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.
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:24:57Z
publishDate 2017
publisher SpringerOpen
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spelling curtin-20.500.11937-631782018-04-04T07:45:08Z Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions Zuo, M. Hao, X. Liu, Lishan Cui, Y. © 2017, The Author(s). 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. 2017 Journal Article http://hdl.handle.net/20.500.11937/63178 10.1186/s13661-017-0892-8 http://creativecommons.org/licenses/by/4.0/ SpringerOpen fulltext
spellingShingle Zuo, M.
Hao, X.
Liu, Lishan
Cui, Y.
Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
title Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
title_full Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
title_fullStr Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
title_full_unstemmed Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
title_short Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
title_sort existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
url http://hdl.handle.net/20.500.11937/63178