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Matematicheskie Zametki, 2003, Volume 73, Issue 2, Pages 206–216
DOI: https://doi.org/10.4213/mzm177 (Mi mzm177) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Similarity between Volterra Operators and Transformation Operators for Integro-Differential Operators of Fractional Order

M. Yu. Ignat'ev

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (180 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm177
Abstract: We establish the similarity between certain Volterra integral operators and the Riemann–Liouville fractional integration operator as well as the existence of a triangular transformation operator for integro-differential equations of fractional order. The results obtained are consistent with similar results for the case of integer order.
Received: 10.10.2000
English version:
Mathematical Notes, 2003, Volume 73, Issue 2, Pages 192–201
DOI: https://doi.org/10.1023/A:1022154908077
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: M. Yu. Ignat'ev, “On the Similarity between Volterra Operators and Transformation Operators for Integro-Differential Operators of Fractional Order”, Mat. Zametki, 73:2 (2003), 206–216; Math. Notes, 73:2 (2003), 192–201
Citation in format AMSBIB
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\transl
\jour Math. Notes
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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