Quasilinear Coupled System in the Frame of Nonsingular Abc-Derivatives With P-Laplacian Operator at Resonance

Jarad, FahdAdjabi, YassinePanda, Sumati KumariBouloudene, Mokhtar02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-09-192025-09-182024-09-192025-09-182024Bouloudene, 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-zhttps://hdl.handle.net/20.500.12416/13374Panda, 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 ResonanceArticle10.1007/s12346-023-00902-z2-s2.0-85177729411