The Cauchy Problem for the Fractional Diffusion Equation in a Weighted Hölder Space

The Cauchy Problem for the Fractional Diffusion Equation in a Weighted Hölder Space

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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Veröffentlicht in:Siberian mathematical journal 2018-11, Vol.59 (6), p.1034-1050
Hauptverfasser: Dzhafarov, R. M., Krasnoshchek, N. V.
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Existence theorems
Mathematics
Mathematics and Statistics
Uniqueness theorems
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Beschreibung
Zusammenfassung: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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446618060071