Quasilinear Coupled System in the Frame of Nonsingular ABC-Derivatives with p-Laplacian Operator at Resonance
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Date
2024-02
Authors
Bouloudene, Mokhtar
Jarad, Fahd
Adjabi, Yassine
Panda, Sumati Kumari
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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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Keywords
Atangana and Baleanu–Caputo Operators, Boundary Value Problem, Coincidence Degree, Continuous Theorem, Coupled System, Fractional P-Laplacian Equation, Homotopy Theory, Quasi-Linear, Resonance
Citation
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.