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Existence Results for a Class of p -Laplacian Fractional Differential Equations with Integral Boundary Conditions

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Listed:
  • SunAe Pak
  • KumSong Jong
  • KyuNam O
  • HuiChol Choi

Abstract

In this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p -Laplacian operator. We obtain some existence and uniqueness results concerned with our problem by using Schaefer’s fixed‐point theorem and Banach contraction mapping principle. Finally, we present some examples to illustrate our main results.

Suggested Citation

  • SunAe Pak & KumSong Jong & KyuNam O & HuiChol Choi, 2020. "Existence Results for a Class of p -Laplacian Fractional Differential Equations with Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:7129796
    DOI: 10.1155/2020/7129796
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    References listed on IDEAS

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    1. Han, Zhenlai & Lu, Hongling & Zhang, Chao, 2015. "Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 526-536.
    2. Jiang, Weihua, 2015. "Solvability of fractional differential equations with p-Laplacian at resonance," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 48-56.
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    Cited by:

    1. Abdellatif Ben Makhlouf & El-Sayed El-Hady & Salah Boulaaras & Mohamed Ali Hammami, 2022. "Stability Analysis for Differential Equations of the General Conformable Type," Complexity, John Wiley & Sons, vol. 2022(1).

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