A Class of Variable-Order Fractional p·-Kirchhoff-Type Systems. (27th February 2021)

• Record Type: Journal Article
• Authors: Wu, Yong; Qiao, Zhenhua; Hamdani, Mohamed Karim; Kou, Bingyu; Yang, Libo
• Other Names: Sawano Yoshihiro Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-02-27
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5558074
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional p x -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.