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On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives

Author

Listed:
  • Bashir Ahmad

    (Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Ahmed Alsaedi

    (Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Sotiris K. Ntouyas

    (Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
    Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece)

  • Hamed H. Al-Sulami

    (Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

Abstract

We prove the existence of solutions for neutral functional differential inclusions involving Hadamard fractional derivatives by applying several fixed point theorems for multivalued maps. We also construct examples for illustrating the obtained results.

Suggested Citation

  • Bashir Ahmad & Ahmed Alsaedi & Sotiris K. Ntouyas & Hamed H. Al-Sulami, 2019. "On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives," Mathematics, MDPI, vol. 7(11), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1084-:d:285442
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    References listed on IDEAS

    as
    1. Agarwal, Ravi P. & Baleanu, Dumitru & Hedayati, Vahid & Rezapour, Shahram, 2015. "Two fractional derivative inclusion problems via integral boundary condition," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 205-212.
    2. Michał Kisielewicz, 2013. "Stochastic Differential Inclusions," Springer Optimization and Its Applications, in: Stochastic Differential Inclusions and Applications, edition 127, chapter 0, pages 147-179, Springer.
    3. Ahmad, Bashir & K. Ntouyas, Sotiris, 2015. "Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 615-622.
    4. Michał Kisielewicz, 2013. "Stochastic Differential Inclusions and Applications," Springer Optimization and Its Applications, Springer, edition 127, number 978-1-4614-6756-4, September.
    Full references (including those not matched with items on IDEAS)

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