A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems

This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional px-operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system,...

Full description

Bibliographic Details
Main Authors:	Yong Wu, Zhenhua Qiao, Mohamed Karim Hamdani, Bingyu Kou, Libo Yang
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/2021/5558074

id	doaj-e661d3d1673a4f56ade868ca45b3679f
record_format	Article
spelling	doaj-e661d3d1673a4f56ade868ca45b3679f2021-03-08T02:01:47ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5558074A Class of Variable-Order Fractional p·-Kirchhoff-Type SystemsYong Wu0Zhenhua Qiao1Mohamed Karim Hamdani2Bingyu Kou3Libo Yang4School of Tourism DateSchool of Electronic and Information EngineeringScience and Technology for Defense Laboratory LR19DN01Department of Basic CoursesFaculty of Mathematics and PhysicsThis paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional px-operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system, in the case of variable-order fractional variable exponents. Our main theorem extends in several directions previous results.http://dx.doi.org/10.1155/2021/5558074
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yong Wu Zhenhua Qiao Mohamed Karim Hamdani Bingyu Kou Libo Yang
spellingShingle	Yong Wu Zhenhua Qiao Mohamed Karim Hamdani Bingyu Kou Libo Yang A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems Journal of Function Spaces
author_facet	Yong Wu Zhenhua Qiao Mohamed Karim Hamdani Bingyu Kou Libo Yang
author_sort	Yong Wu
title	A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems
title_short	A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems
title_full	A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems
title_fullStr	A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems
title_full_unstemmed	A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems
title_sort	class of variable-order fractional p·-kirchhoff-type systems
publisher	Hindawi Limited
series	Journal of Function Spaces
issn	2314-8888
publishDate	2021-01-01
description	This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional px-operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system, in the case of variable-order fractional variable exponents. Our main theorem extends in several directions previous results.
url	http://dx.doi.org/10.1155/2021/5558074
work_keys_str_mv	AT yongwu aclassofvariableorderfractionalpkirchhofftypesystems AT zhenhuaqiao aclassofvariableorderfractionalpkirchhofftypesystems AT mohamedkarimhamdani aclassofvariableorderfractionalpkirchhofftypesystems AT bingyukou aclassofvariableorderfractionalpkirchhofftypesystems AT liboyang aclassofvariableorderfractionalpkirchhofftypesystems AT yongwu classofvariableorderfractionalpkirchhofftypesystems AT zhenhuaqiao classofvariableorderfractionalpkirchhofftypesystems AT mohamedkarimhamdani classofvariableorderfractionalpkirchhofftypesystems AT bingyukou classofvariableorderfractionalpkirchhofftypesystems AT liboyang classofvariableorderfractionalpkirchhofftypesystems
_version_	1714797197103464448

A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems

Similar Items