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An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions

Author

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  • Bashir Ahmad
  • Sotiris K. Ntouyas

Abstract

This paper studies the existence of solutions for a boundary value problem of nonlinear fractional hybrid differential inclusions by using a fixed point theorem due to Dhage (2006). The main result is illustrated with the aid of an example.

Suggested Citation

  • Bashir Ahmad & Sotiris K. Ntouyas, 2014. "An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:705809
    DOI: 10.1155/2014/705809
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    References listed on IDEAS

    as
    1. M. D. Kassim & N.-E. Tatar, 2013. "Well-Posedness and Stability for a Differential Problem with Hilfer-Hadamard Fractional Derivative," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, December.
    2. Ahmed Alsaedi & Sotiris K. Ntouyas & Bashir Ahmad, 2013. "Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-17, May.
    3. M. D. Kassim & N.-E. Tatar, 2013. "Well‐Posedness and Stability for a Differential Problem with Hilfer‐Hadamard Fractional Derivative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Ahmed Alsaedi & Sotiris K. Ntouyas & Bashir Ahmad, 2013. "Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four‐Point Multiterm Fractional Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Ahmed Alsaedi & Sotiris K. Ntouyas & Bashir Ahmad, 2015. "New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    2. Chanakarn Kiataramkul & Sotiris K. Ntouyas & Jessada Tariboon, 2021. "Existence Results for ψ‐Hilfer Fractional Integro‐Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).

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