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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
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
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
Linking options:
https://www.mathnet.ru/eng/ufa324https://doi.org/10.13108/2016-8-3-41 https://www.mathnet.ru/eng/ufa/v8/i3/p41
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Abstract page: | 376 | Russian version PDF: | 140 | English version PDF: | 26 | References: | 65 |
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