Existence of solutions for impulsive fractional evolution equations with periodic boundary condition

Existence of solutions for impulsive fractional evolution equations with periodic boundary condition

Abstract This paper discusses the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact semigroup. By using some fixed point theorems, the existence theorems of mild solutions are obtained, our results are also more general...

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Main Authors: Baolin Li, Haide Gou
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Advances in Difference Equations
Subjects:
periodic boundary value problem
impulsive fractional evolution equation
C 0 $C_{0}$ -semigroup
Online Access:http://link.springer.com/article/10.1186/s13662-017-1263-6
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spelling doaj-55a175c1573a473cb6d60ff04aceabee2020-11-25T00:17:15ZengSpringerOpenAdvances in Difference Equations1687-18472017-08-012017112210.1186/s13662-017-1263-6Existence of solutions for impulsive fractional evolution equations with periodic boundary conditionBaolin Li0Haide Gou1College of Mathematics and Statistics, Northwest Normal UniversityCollege of Mathematics and Statistics, Northwest Normal UniversityAbstract This paper discusses the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact semigroup. By using some fixed point theorems, the existence theorems of mild solutions are obtained, our results are also more general than some well-known results. Furthermore, as applications that illustrate the abstract results, two examples are given.http://link.springer.com/article/10.1186/s13662-017-1263-6periodic boundary value problemimpulsive fractional evolution equationC 0 $C_{0}$ -semigroup
collection DOAJ
language English
format Article
sources DOAJ
author Baolin Li
Haide Gou
spellingShingle Baolin Li
Haide Gou
Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
Advances in Difference Equations
periodic boundary value problem
impulsive fractional evolution equation
C 0 $C_{0}$ -semigroup
author_facet Baolin Li
Haide Gou
author_sort Baolin Li
title Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
title_short Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
title_full Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
title_fullStr Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
title_full_unstemmed Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
title_sort existence of solutions for impulsive fractional evolution equations with periodic boundary condition
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2017-08-01
description Abstract This paper discusses the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact semigroup. By using some fixed point theorems, the existence theorems of mild solutions are obtained, our results are also more general than some well-known results. Furthermore, as applications that illustrate the abstract results, two examples are given.
topic periodic boundary value problem
impulsive fractional evolution equation
C 0 $C_{0}$ -semigroup
url http://link.springer.com/article/10.1186/s13662-017-1263-6
work_keys_str_mv AT baolinli existenceofsolutionsforimpulsivefractionalevolutionequationswithperiodicboundarycondition
AT haidegou existenceofsolutionsforimpulsivefractionalevolutionequationswithperiodicboundarycondition
_version_ 1725380253774249984

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