Quasilinear Coupled System in the Frame of Nonsingular Abc-Derivatives With P-Laplacian Operator at Resonance
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Abstract
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.
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Panda, Sumati Kumari/0000-0002-0220-8222
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Atangana And Baleanu-Caputo Operators, Coupled System, Fractional P-Laplacian Equation, Resonance, Coincidence Degree, Continuous Theorem, Quasi-Linear, Homotopy Theory, Boundary Value Problem, Atangana and Baleanu–Caputo Operators, Nonlinear boundary value problems for ordinary differential equations, Degree theory for nonlinear operators, fractional \(p\)-Laplacian equation, quasi-linear, homotopy theory, Fractional ordinary differential equations, Atangana and Baleanu-Caputo operators, coupled system, coincidence degree, Fixed-point theorems, resonance, continuous theorem, boundary value problem, Nonlocal and multipoint boundary value problems for ordinary differential equations
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Bouloudene, 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.
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