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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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of M’hamed Bougara, Boumerdes, Algeria

    Mokhtar Bouloudene & Yassine Adjabi

  2. Dynamic of Engines and Vibroacoustic Laboratory, University of M’hamed Bougara, Boumerdes, Algeria

    Mokhtar Bouloudene

  3. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06790, Ankara, Turkey

    Fahd Jarad

  4. Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

    Fahd Jarad

  5. Dynamic Systems Laboratory, Faculty of Mathematics, U.S.T.H.B., Bab Ezzouar, Algeria

    Yassine Adjabi

  6. Department of Mathematics, GMR Institute of Technology, Rajam, A.P., 532127, India

    Sumati Kumari Panda

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  1. Mokhtar Bouloudene
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  2. Fahd Jarad
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  3. Yassine Adjabi
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  4. Sumati Kumari Panda
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M.B. and A.Y. wrote the main manuscrit text. F. J. and S.k.P. put the manuscript in its last form. All authors reviewed the manuscript.

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Correspondence to Fahd Jarad.

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Bouloudene, M., Jarad, F., Adjabi, Y. et al. Quasilinear Coupled System in the Frame of Nonsingular ABC-Derivatives with p-Laplacian Operator at Resonance. Qual. Theory Dyn. Syst. 23, 47 (2024). https://doi.org/10.1007/s12346-023-00902-z

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