Representation of generalized differentiation according to E. Post in the classical form of fractional differentiation
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
representation of generalized differentiation according to E. Post, fractional differentiation
Abstract
In the article the theorem about image of generalized Post differentiation is proved in the classical form of fractional differentiation, which lets us to extend this notion on the largest classes of functions.
References
[1] Gelfand I.M., Shilov G.E. Generalized functions and actions on them. - M.: Fizmatgiz, 1958. - 440 p.
[2] Fikhtengolts G.M. Course of differential and integral calculus. Volume II. - M.: Nauka, 1969. - 800 p.
[3] Samko S.G., Kilbas A.A., Marichev O.I. Integrals and derivatives of fractional order and some of their applications. - Minsk: Nauka i Tekhnika, 1987. - 688 p.
Cite
- ACS Style
- Litovchenko, V.A. Representation of generalized differentiation according to E. Post in the classical form of fractional differentiation. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Litovchenko VA. Representation of generalized differentiation according to E. Post in the classical form of fractional differentiation. Bukovinian Mathematical Journal. 2018; 1(76).
- Chicago/Turabian Style
- Vladyslav Antonovich Litovchenko. 2018. "Representation of generalized differentiation according to E. Post in the classical form of fractional differentiation". Bukovinian Mathematical Journal. 1 no. 76.
Export