Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions

In this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. We obtain some existence and uniqueness results concerned with our problem by using Schaefer’s fixed-point...

Full description

Saved in:
Bibliographic Details
Main Authors: SunAe Pak, KumSong Jong, KyuNam O, HuiChol Choi
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2020/7129796
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832553664335577088
author SunAe Pak
KumSong Jong
KyuNam O
HuiChol Choi
author_facet SunAe Pak
KumSong Jong
KyuNam O
HuiChol Choi
author_sort SunAe Pak
collection DOAJ
description In this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. We obtain some existence and uniqueness results concerned with our problem by using Schaefer’s fixed-point theorem and Banach contraction mapping principle. Finally, we present some examples to illustrate our main results.
format Article
id doaj-art-1e6c7ab326584f688062c900e48b42a6
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-1e6c7ab326584f688062c900e48b42a62025-02-03T05:53:25ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/71297967129796Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary ConditionsSunAe Pak0KumSong Jong1KyuNam O2HuiChol Choi3Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaIn this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. We obtain some existence and uniqueness results concerned with our problem by using Schaefer’s fixed-point theorem and Banach contraction mapping principle. Finally, we present some examples to illustrate our main results.http://dx.doi.org/10.1155/2020/7129796
spellingShingle SunAe Pak
KumSong Jong
KyuNam O
HuiChol Choi
Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions
Abstract and Applied Analysis
title Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions
title_full Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions
title_fullStr Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions
title_full_unstemmed Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions
title_short Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions
title_sort existence results for a class of p laplacian fractional differential equations with integral boundary conditions
url http://dx.doi.org/10.1155/2020/7129796
work_keys_str_mv AT sunaepak existenceresultsforaclassofplaplacianfractionaldifferentialequationswithintegralboundaryconditions
AT kumsongjong existenceresultsforaclassofplaplacianfractionaldifferentialequationswithintegralboundaryconditions
AT kyunamo existenceresultsforaclassofplaplacianfractionaldifferentialequationswithintegralboundaryconditions
AT huicholchoi existenceresultsforaclassofplaplacianfractionaldifferentialequationswithintegralboundaryconditions