On the Similarity between Volterra Operators and Transformation Operators for Integro-Differential Operators of Fractional Order
Matematičeskie zametki, Tome 73 (2003) no. 2, pp. 206-216
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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.
@article{MZM_2003_73_2_a4,
author = {M. Yu. Ignat'ev},
title = {On the {Similarity} between {Volterra} {Operators} and {Transformation} {Operators} for {Integro-Differential} {Operators} of {Fractional} {Order}},
journal = {Matemati\v{c}eskie zametki},
pages = {206--216},
publisher = {mathdoc},
volume = {73},
number = {2},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_2_a4/}
}
TY - JOUR AU - M. Yu. Ignat'ev TI - On the Similarity between Volterra Operators and Transformation Operators for Integro-Differential Operators of Fractional Order JO - Matematičeskie zametki PY - 2003 SP - 206 EP - 216 VL - 73 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2003_73_2_a4/ LA - ru ID - MZM_2003_73_2_a4 ER -
%0 Journal Article %A M. Yu. Ignat'ev %T On the Similarity between Volterra Operators and Transformation Operators for Integro-Differential Operators of Fractional Order %J Matematičeskie zametki %D 2003 %P 206-216 %V 73 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2003_73_2_a4/ %G ru %F MZM_2003_73_2_a4
M. Yu. Ignat'ev. On the Similarity between Volterra Operators and Transformation Operators for Integro-Differential Operators of Fractional Order. Matematičeskie zametki, Tome 73 (2003) no. 2, pp. 206-216. http://geodesic.mathdoc.fr/item/MZM_2003_73_2_a4/