Quasilinear Coupled System in the Frame of Nonsingular ABC-Derivatives with p-Laplacian Operator at Resonance

We investigate the existence of solutions for coupled systems of fractional p -Laplacian quasilinear boundary value problems at resonance given by the Atangana–Baleanu–Caputo (shortly, ABC) derivatives formulations are based on the well-known Mittag-Leffler kernel utilizing Ge’s application of Mawhi...

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Veröffentlicht in:Qualitative theory of dynamical systems 2024-02, Vol.23 (1), Article 47
Hauptverfasser: Bouloudene, Mokhtar, Jarad, Fahd, Adjabi, Yassine, Panda, Sumati Kumari
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Sprache:eng
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Zusammenfassung:We investigate the existence of solutions for coupled systems of fractional p -Laplacian quasilinear boundary value problems at resonance given by the Atangana–Baleanu–Caputo (shortly, ABC) derivatives formulations are based on the well-known Mittag-Leffler kernel utilizing Ge’s application of Mawhin’s continuation theorem. Examples are provided to demonstrate our findings.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00902-z