Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions

In this paper, we prove the existence of solutions for an anti-periodic boundary value problem of nonlinear impulsive fractional differential equations by applying some known fixed point theorems. Some examples are presented to illustrate the main results.

Bibliographic Details
Main Authors: Lihong Zhang, Guotao Wang
Format: Article
Language:English
Published: University of Szeged 2011-02-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=580
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author Lihong Zhang
Guotao Wang
author_facet Lihong Zhang
Guotao Wang
author_sort Lihong Zhang
collection DOAJ
description In this paper, we prove the existence of solutions for an anti-periodic boundary value problem of nonlinear impulsive fractional differential equations by applying some known fixed point theorems. Some examples are presented to illustrate the main results.
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spelling doaj.art-892ccc31d7eb4593b61984ca3f90b5b72023-05-09T07:53:00ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752011-02-012011711110.14232/ejqtde.2011.1.7580Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditionsLihong Zhang0Guotao Wang1Shanxi Normal University, Linfen, Shanxi, P. R. ChinaShanxi Normal University, Linfen, Shanxi, P. R. ChinaIn this paper, we prove the existence of solutions for an anti-periodic boundary value problem of nonlinear impulsive fractional differential equations by applying some known fixed point theorems. Some examples are presented to illustrate the main results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=580
spellingShingle Lihong Zhang
Guotao Wang
Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations
title Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions
title_full Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions
title_fullStr Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions
title_full_unstemmed Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions
title_short Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions
title_sort existence of solutions for nonlinear fractional differential equations with impulses and anti periodic boundary conditions
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=580
work_keys_str_mv AT lihongzhang existenceofsolutionsfornonlinearfractionaldifferentialequationswithimpulsesandantiperiodicboundaryconditions
AT guotaowang existenceofsolutionsfornonlinearfractionaldifferentialequationswithimpulsesandantiperiodicboundaryconditions