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Fractional Differential Mathematical Models of the Dynamics of Nonequilibrium Geomigration Processes and Problems with Nonlocal Boundary Conditions

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Abstract

The analytical solutions of boundary-value problems with nonlocal boundary conditions are presented for two fractional differential mathematical models of the dynamics of a geomigration process non-equilibrium in time. The models based on the equations with the Caputo and Hilfer derivatives of fractional order are considered.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. M. Bulavatsky

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  1. V. M. Bulavatsky
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Correspondence to V. M. Bulavatsky.

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Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2014, pp. 93–101.

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Bulavatsky, V.M. Fractional Differential Mathematical Models of the Dynamics of Nonequilibrium Geomigration Processes and Problems with Nonlocal Boundary Conditions. Cybern Syst Anal 50, 81–89 (2014). https://doi.org/10.1007/s10559-014-9594-8

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