On the connection between fundamental solutions of parabolic equations and equations with fractional derivatives and their application
Matiychuk Mykhailo Ivanovich
1
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
parabolic equations, equations with fractional derivatives
Abstract
Based on the connection between Green functions of the Cauchy problem for parabolic equati-
ons and corresponding equations with fractional derivatives components of fundamental solution
of equations with variable coefficients the module of continuity of which satisfies Dini condition
are defined and evaluated. The correctness of the Dirichlet and Neumann problems for the fractal
diffusion equation is established.
References
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Cite
- ACS Style
- Matiychuk, .I. On the connection between fundamental solutions of parabolic equations and equations with fractional derivatives and their application. Bukovinian Mathematical Journal. 2018, 5
- AMA Style
- Matiychuk I. On the connection between fundamental solutions of parabolic equations and equations with fractional derivatives and their application. Bukovinian Mathematical Journal. 2018; 5(3-4).
- Chicago/Turabian Style
- Mykhailo Ivanovich Matiychuk. 2018. "On the connection between fundamental solutions of parabolic equations and equations with fractional derivatives and their application". Bukovinian Mathematical Journal. 5 no. 3-4.
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