A new result on the existence of positive solutions for a class of fractional Kirchhoff-type systems with multiple parameters

R. Guefaifia^a, T. Bouali^b, S. H. Rasouli<sup>c

a</sup> Qassim University, Buraydah, 51452 Saudi Arabia
^b Echahid Cheikh Larbi Tebessi University, Tebessa, 12002 Algeria
^c Noshirnani University of Technology, Babol, Iran

Abstract: This paper is devoted to the problem of existence of positive weak solutions for a class of fractional Kirchhoff-type systems with multiple parameters. By using the sub-supersolution method and some analysis techniques, we prove a new existence result. To the best of our knowledge, our results are new in the study of fractional Kirchhoff-type systems.

Keywords: fractional Kirchhoff-type system, positive solution, sub-supersolution, multiple parameters.

UDC: 517.927

Received: 21.01.2024
Revised: 14.02.2024
Accepted: 20.03.2024

DOI: 10.26907/0021-3446-2025-1-15-27

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2025, 69:1, 11–22