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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), Issue 2, Pages 144–152
DOI: https://doi.org/10.15393/j3.art.2018.5730 (Mi pa253) 		 
$N$-fractional calculus operator method to the Euler equation

R. Yilmazera, O. Ozturkb

a Firat University, Elazig 23119, Turkey
b Bitlis Eren University, Bitlis 13000, Turkey
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DOI: https://doi.org/10.15393/j3.art.2018.5730
Abstract: We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the $N$ operator method in the fractional calculus to solve this equation in this paper. We take advantage of some results of previous studies related to the fractional calculus.
Keywords: fractional calculus, Euler equation, ordinary differential equation.
Received: 25.06.2018
Revised: 08.11.2018
Accepted: 08.11.2018
Bibliographic databases:
Document Type: Article
UDC: 517.28, 517.95, 517.926
MSC: 26A33, 34A08
Language: English
Citation: R. Yilmazer, O. Ozturk, “$N$-fractional calculus operator method to the Euler equation”, Probl. Anal. Issues Anal., 7(25):2 (2018), 144–152
Citation in format AMSBIB
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\by R.~Yilmazer, O.~Ozturk
\paper $N$-fractional calculus operator method to the Euler equation
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\issue 2
\pages 144--152
\mathnet{http://mi.mathnet.ru/pa253}
\crossref{https://doi.org/10.15393/j3.art.2018.5730}
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\elib{https://elibrary.ru/item.asp?id=36744248}
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