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Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives

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Abstract

We prove the uniform correctness of a Cauchy-type problem with two fractional derivatives and a bounded operator A. We propose a criterion for the uniform correctness of unbounded operator A.

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Correspondence to A. V. Glushak.

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Original Russian Text © A.V. Glushak, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 9, pp. 13–24.

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Glushak, A.V. Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives. Russ Math. 53, 10–19 (2009). https://doi.org/10.3103/S1066369X09090023

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  • DOI: https://doi.org/10.3103/S1066369X09090023

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