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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
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DOI: https://doi.org/10.13108/2016-8-3-41
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
Russian version:
Ufimskii Matematicheskii Zhurnal, 2016, Volume 8, Issue 3, Pages 41–48
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”, Ufimsk. Mat. Zh., 8:3 (2016), 41–48; Ufa Math. J., 8:3 (2016), 41–48
Citation in format AMSBIB
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    Russian version PDF:137
    English version PDF:20
    References:58
     
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