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Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations

Author

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  • Bashir Ahmad
  • Juan J. Nieto

Abstract

We study some existence results in a Banach space for a nonlocal boundary value problem involving a nonlinear differential equation of fractional order given by , , , , ,  ,  , . Our results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem.

Suggested Citation

  • Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    • Handle: RePEc:hin:jnlaaa:494720
    DOI: 10.1155/2009/494720
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    Cited by:

    1. Azarnavid, Babak & Emamjomeh, Mahdi & Nabati, Mohammad, 2022. "A shooting like method based on the shifted Chebyshev polynomials for solving nonlinear fractional multi-point boundary value problem," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Sotiris K. Ntouyas & Phollakrit Wongsantisuk & Ayub Samadi & Jessada Tariboon, 2024. "Hybrid System of Proportional Hilfer-Type Fractional Differential Equations and Nonlocal Conditions with Respect to Another Function," Mathematics, MDPI, vol. 12(7), pages 1-21, April.
    3. Rafia Majeed & Binlin Zhang & Mehboob Alam, 2023. "Fractional Langevin Coupled System with Stieltjes Integral Conditions," Mathematics, MDPI, vol. 11(10), pages 1-14, May.
    4. Meysam Alvan & Rahmat Darzi & Amin Mahmoodi, 2016. "Existence Results for a New Class of Boundary Value Problems of Nonlinear Fractional Differential Equations," Mathematics, MDPI, vol. 4(1), pages 1-10, March.
    5. Zeeshan Ali & Poom Kumam & Kamal Shah & Akbar Zada, 2019. "Investigation of Ulam Stability Results of a Coupled System of Nonlinear Implicit Fractional Differential Equations," Mathematics, MDPI, vol. 7(4), pages 1-26, April.

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