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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2025, Number 1, Pages 15–27
DOI: https://doi.org/10.26907/0021-3446-2025-1-15-27 (Mi ivm10051) 		 
A new result on the existence of positive solutions for a class of fractional Kirchhoff-type systems with multiple parameters

R. Guefaifiaa, T. Boualib, S. H. Rasoulic

a Qassim University, Buraydah, 51452 Saudi Arabia
b Echahid Cheikh Larbi Tebessi University, Tebessa, 12002 Algeria
c Noshirnani University of Technology, Babol, Iran
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DOI: https://doi.org/10.26907/0021-3446-2025-1-15-27
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.
Received: 21.01.2024
Revised: 14.02.2024
Accepted: 20.03.2024
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2025, Volume 69, Issue 1, Pages 11–22
DOI: https://doi.org/10.3103/S1066369X25700021
Document Type: Article
UDC: 517.927
Language: Russian
Citation: R. Guefaifia, T. Bouali, S. H. Rasouli, “A new result on the existence of positive solutions for a class of fractional Kirchhoff-type systems with multiple parameters”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 1, 15–27; Russian Math. (Iz. VUZ), 69:1 (2025), 11–22
Citation in format AMSBIB
\Bibitem{GueBouRas25}
\by R.~Guefaifia, T.~Bouali, S.~H.~Rasouli
\paper A new result on the existence of positive solutions for a class of fractional Kirchhoff-type systems with multiple parameters
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2025
\issue 1
\pages 15--27
\mathnet{http://mi.mathnet.ru/ivm10051}
\crossref{https://doi.org/10.26907/0021-3446-2025-1-15-27}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2025
\vol 69
\issue 1
\pages 11--22
\crossref{https://doi.org/10.3103/S1066369X25700021}
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