On the connection between fundamental solutions of parabolic equations and equations with fractional derivatives
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
It is established the connection between Green functions of the Cauchy problem for parabolic equations and related equations with fractional derivative. On the basis of such connection estimates of component of Green function are derived and the solution and the fundamental solution of the Cauchy problem with variable coecients of fractal equations are constructed.
Cite
- ACS Style
- Matiychuk, .I. On the connection between fundamental solutions of parabolic equations and equations with fractional derivatives. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Matiychuk I. On the connection between fundamental solutions of parabolic equations and equations with fractional derivatives. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Mykhailo Ivanovich Matiychuk. 2017. "On the connection between fundamental solutions of parabolic equations and equations with fractional derivatives". Bukovinian Mathematical Journal. 4 no. 3-4.
Export