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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 1(18), Pages 276–279
DOI: https://doi.org/10.14498/vsgtu685 (Mi vsgtu685) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Short Communication
Differential Equations

Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation

E. N. Ogorodnikov, N. S. Yashagin

Samara State Technical University; Dept of Applied Mathematics and Computer Science
Full-text PDF (278 kB) Citations (21)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu685
Abstract: Some special functions, concerning Mittag–Leffler type function, are introduced. The solution to Cauchy problem for some linear non-homogeneous fractional oscillating equation in terms of these functions are given.
Keywords: Mittag-Leffler type function, Rieman-Liouville's franctional integrals and derivates, Caushy problem for a fractional occilating equation.
Original article submitted 05/X/2008
revision submitted – 12/II/2009
Bibliographic databases:
Document Type: Article
UDC: 517.968:517.589
MSC: 56U78
Language: Russian
Citation: E. N. Ogorodnikov, N. S. Yashagin, “Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(18) (2009), 276–279
Citation in format AMSBIB
\Bibitem{OgoYas09}
\by E.~N.~Ogorodnikov, N.~S.~Yashagin
\paper Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 1(18)
\pages 276--279
\mathnet{http://mi.mathnet.ru/vsgtu685}
\crossref{https://doi.org/10.14498/vsgtu685}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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