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The Cauchy problem for an equation with fractional derivatives in Bessel potential spaces

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Abstract

For an equation with fractional derivatives we establish the existence of a solution to the Cauchy problem which is classical in time and belongs to Bessel potential classes in space variables.

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Authors and Affiliations

  1. Institute of Mathematics, Rzeszów University, Rzeszów, Poland

    A. O. Lopushansky

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  1. A. O. Lopushansky
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Correspondence to A. O. Lopushansky.

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__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 6, pp. 1334–1344, November–December, 2014.

Original Russian Text Copyright © 2014 Lopushansky A.O.

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Lopushansky, A.O. The Cauchy problem for an equation with fractional derivatives in Bessel potential spaces. Sib Math J 55, 1089–1097 (2014). https://doi.org/10.1134/S0037446614060111

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  • DOI: https://doi.org/10.1134/S0037446614060111

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