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Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space

Author

Listed:
  • Mabrouk Bragdi
  • Amar Debbouche
  • Dumitru Baleanu

Abstract

We discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders 2

Suggested Citation

  • Mabrouk Bragdi & Amar Debbouche & Dumitru Baleanu, 2013. "Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:426061
    DOI: 10.1155/2013/426061
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    References listed on IDEAS

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    1. I. J. Cabrera & J. Harjani & K. B. Sadarangani, 2012. "Existence and Uniqueness of Positive Solutions for a Singular Fractional Three-Point Boundary Value Problem," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, August.
    2. Bashir Ahmad & Sotiris K. Ntouyas, 2012. "A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, April.
    3. Amar Debbouche & Dumitru Baleanu, 2012. "Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Bashir Ahmad & Sotiris K. Ntouyas, 2012. "A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Amar Debbouche & Dumitru Baleanu, 2012. "Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, September.
    6. I. J. Cabrera & J. Harjani & K. B. Sadarangani, 2012. "Existence and Uniqueness of Positive Solutions for a Singular Fractional Three‐Point Boundary Value Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Citations

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    Cited by:

    1. Ntouyas, Sotiris K. & Etemad, Sina, 2015. "On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 235-243.
    2. Ali Rezaiguia & Taher S. Hassan, 2023. "Topological Structure and Existence of Solutions Set for q-Fractional Differential Inclusion in Banach Space," Mathematics, MDPI, vol. 11(3), pages 1-9, January.

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