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Existence of Solutions of the Boundary-Value Problem for a Nonlinear Differential Equation of Fractional Order

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We find sufficient conditions for the existence of solutions of the boundary-value problem for a nonlinear differential equation containing a mixed Riemann–Liouville derivative of the fractional order.

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Authors and Affiliations

  1. Mechnikov Odessa National University, Institute of Mathematics, Economics, and Mechanics, Dvoryanskaya Str. 2, Odessa, 65026, Ukraine

    A. N. Vityuk

  2. Odessa National Economic University, Preobrazhenskaya Str. 8, Odessa, 65082, Ukraine

    A. V. Mikhailenko

Authors
  1. A. N. Vityuk
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  2. A. V. Mikhailenko
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Correspondence to A. N. Vityuk.

Additional information

Translated from Neliniini Kolyvannya, Vol. 19, No. 2, pp. 161–172, April–June, 2016.

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Vityuk, A.N., Mikhailenko, A.V. Existence of Solutions of the Boundary-Value Problem for a Nonlinear Differential Equation of Fractional Order. J Math Sci 223, 210–222 (2017). https://doi.org/10.1007/s10958-017-3349-9

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  • DOI: https://doi.org/10.1007/s10958-017-3349-9

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