Abstract
Under study is the Cauchy problem for the fractional diffusion equation with a Caputo derivative. The existence and uniqueness theorems for a smooth solution are proven in a weighted H¨older space.
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Original Russian Text © 2018 Dzhafarov R.M. and Krasnoshchek N.V.
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Slavyansk. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 6, pp. 1303–1321, November–December, 2018; DOI: 10.17377/smzh.2018.59.607.
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Dzhafarov, R.M., Krasnoshchek, N.V. The Cauchy Problem for the Fractional Diffusion Equation in a Weighted Hölder Space. Sib Math J 59, 1034–1050 (2018). https://doi.org/10.1134/S0037446618060071
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DOI: https://doi.org/10.1134/S0037446618060071