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Boundary Value Problems for Riemann–Liouville Fractional Differential Inclusions with Nonlocal Hadamard Fractional Integral Conditions

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Abstract

In this paper, we study a new class of boundary value problems from a fractional differential inclusion of Riemann–Liouville type and nonlocal Hadamard fractional integral boundary conditions. Some new existence results for convex as well as non-convex multi-valued maps are obtained using standard fixed point theorems. The obtained results are illustrated by examples.

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Authors and Affiliations

  1. Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece

    Sotiris K. Ntouyas

  2. 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

  3. Department of Mathematics, Nonlinear Dynamic Analysis Research Center, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand

    Jessada Tariboon & Weerawat Sudsutad

Authors
  1. Sotiris K. Ntouyas
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  2. Jessada Tariboon
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  3. Weerawat Sudsutad
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Correspondence to Jessada Tariboon.

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Ntouyas, S.K., Tariboon, J. & Sudsutad, W. Boundary Value Problems for Riemann–Liouville Fractional Differential Inclusions with Nonlocal Hadamard Fractional Integral Conditions. Mediterr. J. Math. 13, 939–954 (2016). https://doi.org/10.1007/s00009-015-0543-1

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  • DOI: https://doi.org/10.1007/s00009-015-0543-1

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