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Fractional Diffusion Equation Degenerating in the Initial Hyperplane

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Ukrainian Mathematical Journal Aims and scope

We consider a fractional extension of the parabolic equation degenerating in the initial hyperplane. For this equation, we construct and investigate the fundamental solution of the Cauchy problem and find the solution of the inhomogeneous equation.

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Authors and Affiliations

  1. I. Sikorsky Kyiv Polytechnic Institute, Ukrainian National Technical University, Kyiv, Ukraine

    A. M. Ponomarenko

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  1. A. M. Ponomarenko
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Correspondence to A. M. Ponomarenko.

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Translated from Ukrains’kyi Matematychnyi Zhurnal,Vol. 73, No. 3, pp. 370–380, March, 2021. Ukrainian DOI: 10.37863/umzh.v73i3.6320.

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Ponomarenko, A.M. Fractional Diffusion Equation Degenerating in the Initial Hyperplane. Ukr Math J 73, 433–446 (2021). https://doi.org/10.1007/s11253-021-01934-x

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  • DOI: https://doi.org/10.1007/s11253-021-01934-x

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