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Existence and Uniqueness of Solutions to Four-Point Impulsive Fractional Differential Equations with p -Laplacian Operator

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  • Limin Chu

    (School of Mathematics and Statistics, Yili Normal University, Yining 835000, China
    School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, China)

  • Weimin Hu

    (School of Mathematics and Statistics, Yili Normal University, Yining 835000, China
    Institute of Applied Mathematics, Yili Normal University, Yining 835000, China)

  • Youhui Su

    (School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, China)

  • Yongzhen Yun

    (School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, China)

Abstract

In this paper, by using fixed-point theorems, the existence and uniqueness of positive solutions to a class of four-point impulsive fractional differential equations with p -Laplacian operators are studied. In addition, three examples are given to justify the conclusion. The interest of this paper is to study impulsive fractional differential equations with p -Laplacian operators.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1852-:d:826371
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    References listed on IDEAS

    as
    1. Mohammadi, Hakimeh & Kumar, Sunil & Rezapour, Shahram & Etemad, Sina, 2021. "A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. 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.
    3. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    4. Yong Wu & Bouali Tahar & Guefaifia Rafik & Abita Rahmoune & Libo Yang, 2022. "The Existence and Multiplicity of Homoclinic Solutions for a Fractional Discrete p −Laplacian Equation," Mathematics, MDPI, vol. 10(9), pages 1-16, April.
    5. Ilkay Yaslan Karaca & Fatma Tokmak, 2014. "Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations with -Laplacian Operator," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, March.
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