|
This article is cited in 5 scientific papers (total in 5 papers)
Solvability in Hölder space of an initial boundary value problem for the time-fractional diffusion equation
M. V. Krasnoschok Institute of Applied Mathematics and Mechanics,
National Academy of Sciences of Ukraine,
1 Dobrovol'skogo Str., Slov'yansk 84100, Ukraine
Abstract:
In this paper we consider an initial boundary value problem for the time-fractional diffusion equation with mixed boundary conditions. We prove a theorem of existence and uniqueness of solution to this problem in Hölder spaces.
Key words and phrases:
fractional-order diffusion, Hölder spaces, Caputo derivative.
Received: 13.10.2014 Revised: 20.04.2015
Citation:
M. V. Krasnoschok, “Solvability in Hölder space of an initial boundary value problem for the time-fractional diffusion equation”, Zh. Mat. Fiz. Anal. Geom., 12:1 (2016), 48–77
Linking options:
https://www.mathnet.ru/eng/jmag628 https://www.mathnet.ru/eng/jmag/v12/i1/p48
|
Statistics & downloads: |
Abstract page: | 250 | Full-text PDF : | 107 | References: | 48 |
|