On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations

On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations

We introduce boundary value conditions involving antiperiodic and nonlocal three-point boundary conditions. We solve a nonlinear fractional differential equation supplemented with those conditions. We obtain some existence results for the given problem by applying some standard tools of fixed point...

Full description

Bibliographic Details
Main Authors: Bashir Ahmad, Jorge Losada, Juan J. Nieto
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/973783
id doaj-a696deaf15804e07ba17d895bdf6a439
record_format Article
spelling doaj-a696deaf15804e07ba17d895bdf6a4392020-11-25T00:10:46ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/973783973783On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential EquationsBashir Ahmad0Jorge Losada1Juan J. Nieto2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, SpainDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe introduce boundary value conditions involving antiperiodic and nonlocal three-point boundary conditions. We solve a nonlinear fractional differential equation supplemented with those conditions. We obtain some existence results for the given problem by applying some standard tools of fixed point theory. These results are well illustrated with the aid of examples.http://dx.doi.org/10.1155/2015/973783
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Jorge Losada
Juan J. Nieto
spellingShingle Bashir Ahmad
Jorge Losada
Juan J. Nieto
On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations
Discrete Dynamics in Nature and Society
author_facet Bashir Ahmad
Jorge Losada
Juan J. Nieto
author_sort Bashir Ahmad
title On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations
title_short On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations
title_full On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations
title_fullStr On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations
title_full_unstemmed On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations
title_sort on antiperiodic nonlocal three-point boundary value problems for nonlinear fractional differential equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2015-01-01
description We introduce boundary value conditions involving antiperiodic and nonlocal three-point boundary conditions. We solve a nonlinear fractional differential equation supplemented with those conditions. We obtain some existence results for the given problem by applying some standard tools of fixed point theory. These results are well illustrated with the aid of examples.
url http://dx.doi.org/10.1155/2015/973783
work_keys_str_mv AT bashirahmad onantiperiodicnonlocalthreepointboundaryvalueproblemsfornonlinearfractionaldifferentialequations
AT jorgelosada onantiperiodicnonlocalthreepointboundaryvalueproblemsfornonlinearfractionaldifferentialequations
AT juanjnieto onantiperiodicnonlocalthreepointboundaryvalueproblemsfornonlinearfractionaldifferentialequations
_version_ 1725407243256463360

Similar Items