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A New Proof of the Existence of Nonzero Weak Solutions of Impulsive Fractional Boundary Value Problems

Author

Listed:
  • Asma Alharbi

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

  • Rafik Guefaifia

    (Department of Mathematics, Faculty of Exact Sciences, University Tebessa 12002, Tebessa 12002, Algeria
    These authors contributed equally to this work.)

  • Salah Boulaaras

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

Abstract

The paper deals with the existence of at least two non zero weak solutions to a new class of impulsive fractional boundary value problems via Brezis and Nirenberg’s Linking Theorem. Finally, an example is presented to illustrate our results.

Suggested Citation

  • Asma Alharbi & Rafik Guefaifia & Salah Boulaaras, 2020. "A New Proof of the Existence of Nonzero Weak Solutions of Impulsive Fractional Boundary Value Problems," Mathematics, MDPI, vol. 8(5), pages 1-16, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:856-:d:362553
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    References listed on IDEAS

    as
    1. Chuanzhi Bai, 2012. "Existence of Three Solutions for a Nonlinear Fractional Boundary Value Problem via a Critical Points Theorem," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, September.
    2. James W. Kirchner & Xiahong Feng & Colin Neal, 2000. "Fractal stream chemistry and its implications for contaminant transport in catchments," Nature, Nature, vol. 403(6769), pages 524-527, February.
    Full references (including those not matched with items on IDEAS)

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