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On Perturbed Fractional Differential Inclusions with Nonlocal Multi-point Erdélyi–Kober Fractional Integral Boundary Conditions

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Abstract

In this paper, by using a nonlinear alternative for a sum of compact upper semicontinuous and contractive multivalued operators, we establish sufficient conditions for the existence of solutions for perturbed fractional differential inclusions with nonlocal multi-point Erdélyi–Kober fractional integral boundary conditions. For the applicability of the main result, we include an example.

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Authors and Affiliations

  1. 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

    Bashir Ahmad & Sotiris K. Ntouyas

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

    Sotiris K. Ntouyas

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  1. Bashir Ahmad
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  2. Sotiris K. Ntouyas
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Correspondence to Bashir Ahmad.

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Ahmad, B., Ntouyas, S.K. On Perturbed Fractional Differential Inclusions with Nonlocal Multi-point Erdélyi–Kober Fractional Integral Boundary Conditions. Mediterr. J. Math. 14, 27 (2017). https://doi.org/10.1007/s00009-016-0830-5

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  • DOI: https://doi.org/10.1007/s00009-016-0830-5

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