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

Bouloudene, MokhtarJarad, FahdAdjabi, YassinePanda, Sumati KumariMatematik2024-09-192024-09-192024Bouloudene, Mokhtar...et al (2024). "Quasilinear Coupled System in the Frame of Nonsingular ABC-Derivatives with p-Laplacian Operator at Resonance", Qualitative Theory of Dynamical Systems, Vol. 23, no. 1.1575-54601662-3592https://doi.org/10.1007/s12346-023-00902-zPanda, Sumati Kumari/0000-0002-0220-8222We 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.eninfo:eu-repo/semantics/closedAccessAtangana And Baleanu-Caputo OperatorsCoupled SystemFractional P-Laplacian EquationResonanceCoincidence DegreeContinuous TheoremQuasi-LinearHomotopy TheoryBoundary Value ProblemQuasilinear Coupled System in the Frame of Nonsingular ABC-Derivatives with p-Laplacian Operator at ResonanceQuasilinear Coupled System in the Frame of Nonsingular Abc-Derivatives With P-Laplacian Operator at ResonanceArticle23110.1007/s12346-023-00902-z2-s2.0-85177729411WOS:001110476400002Q1Q2