On the Similarity between Volterra Operators and Transformation Operators for Integro-Differential Operators of Fractional Order |
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| Authors: | Ignat'ev M Yu |
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| Institution: | (1) N. G. Chernyshevskii Saratov State University, Russia |
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| 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. |
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| Keywords: | Volterra integral operator Riemann--Liouville integration operator integro-differential equation of fractional order |
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