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Ufa Mathematical Journal, 2016, Volume 8, Issue 3, Pages 41–48
DOI: https://doi.org/10.13108/2016-8-3-41
(Mi ufa324)
 

Inverting of generalized Riemann–Liouville operator by means of integral Laplace transform

I. I. Bavrina, O. E. Iaremkob

a Moscow State Pedagogical University
b Penza State University
References:
Abstract: We employ the integral Laplace transform to invert the generalized Riemann–Liouville operator in a closed form. We establish that the inverse generalized Riemann–Liouville operator is a differential or integral-differential operator. We establish a relation between Riemann–Liouville operator and Temlyakov–Bavrin operator. We provide new examples of generalized Riemann–Liouville operator.
Keywords: Riemann–Liouville operator, fractional integral, Laplace transform.
Received: 26.12.2015
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 26A33, 44A10
Language: English
Original paper language: Russian
Citation: I. I. Bavrin, O. E. Iaremko, “Inverting of generalized Riemann–Liouville operator by means of integral Laplace transform”, Ufa Math. J., 8:3 (2016), 41–48
Citation in format AMSBIB
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\by I.~I.~Bavrin, O.~E.~Iaremko
\paper Inverting of generalized Riemann--Liouville operator by means of integral Laplace transform
\jour Ufa Math. J.
\yr 2016
\vol 8
\issue 3
\pages 41--48
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  • https://doi.org/10.13108/2016-8-3-41
  • https://www.mathnet.ru/eng/ufa/v8/i3/p41
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    English version PDF:26
    References:65
     
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