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

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,...

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Veröffentlicht in:Journal of function spaces 2021, Vol.2021, p.1-6
Hauptverfasser: Wu, Yong, Qiao, Zhenhua, Hamdani, Mohamed Karim, Kou, Bingyu, Yang, Libo
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
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Zusammenfassung: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/5558074