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Existence of Weak Solutions for a New Class of Fractional p -Laplacian Boundary Value Systems

Author

Listed:
  • Fares Kamache

    (Laboratory of Mathematics, Informatics and systemes (LAMIS), University of Larbi Tebessi, 12000 Tebessa, Algeria
    These authors contributed equally to this work.)

  • Rafik Guefaifia

    (Laboratory of Mathematics, Informatics and systemes (LAMIS), University of Larbi Tebessi, 12000 Tebessa, Algeria
    These authors contributed equally to this work.)

  • Salah Boulaaras

    (Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, 51452 Qassim, Saudi Arabia
    Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1 Ahmed Ben Bella, 31000 Oran, Algeria
    These authors contributed equally to this work.)

  • Asma Alharbi

    (Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, 51452 Qassim, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

In this paper, at least three weak solutions were obtained for a new class of dual non-linear dual-Laplace systems according to two parameters by using variational methods combined with a critical point theory due to Bonano and Marano. Two examples are given to illustrate our main results applications.

Suggested Citation

  • Fares Kamache & Rafik Guefaifia & Salah Boulaaras & Asma Alharbi, 2020. "Existence of Weak Solutions for a New Class of Fractional p -Laplacian Boundary Value Systems," Mathematics, MDPI, vol. 8(4), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:475-:d:339340
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    References listed on IDEAS

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    1. Zhao, Yulin & Chen, Haibo & Qin, Bin, 2015. "Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 417-427.
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    Cited by:

    1. Limin Chu & Weimin Hu & Youhui Su & Yongzhen Yun, 2022. "Existence and Uniqueness of Solutions to Four-Point Impulsive Fractional Differential Equations with p -Laplacian Operator," Mathematics, MDPI, vol. 10(11), pages 1-30, May.

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