Email this article The Cauchy Problem for the Fractional Diffusion Equation in a Weighted Hölder Space
- Authors: Dzhafarov R.M.1, Krasnoshchek N.V.1
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Affiliations:
- Institute of Applied Mathematics and Mechanics
- Issue: Vol 59, No 6 (2018)
- Pages: 1034-1050
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172100
- DOI: https://doi.org/10.1134/S0037446618060071
- ID: 172100
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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.
About the authors
R. M. Dzhafarov
Institute of Applied Mathematics and Mechanics
Author for correspondence.
Email: dzhafarov@ukr.net
Ukraine, Slavyansk
N. V. Krasnoshchek
Institute of Applied Mathematics and Mechanics
Email: dzhafarov@ukr.net
Ukraine, Slavyansk
