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...
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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2020/7129796 |
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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 |
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