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Abstract differential operators generating fractional resolvent families

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Abstract

In the paper under review, we consider the generation of fractional resolvent families by abstract differential operators. Our results can be simply incorporated in the study of corresponding abstract time-fractional equations with Caputo fractional derivatives.

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Authors and Affiliations

  1. Faculty of Technical Sciences, 21125, Novi Sad, Serbia

    Marko Kostić

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  1. Marko Kostić
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Correspondence to Marko Kostić.

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Dedicated to Professor Bogoljub Stanković on the Occasion of His 90th Birthday

Supported by Ministry of Science and Technological Development, Republic of Serbia (Grant No. 174024)

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Kostić, M. Abstract differential operators generating fractional resolvent families. Acta. Math. Sin.-English Ser. 30, 1989–1998 (2014). https://doi.org/10.1007/s10114-014-1279-8

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  • DOI: https://doi.org/10.1007/s10114-014-1279-8

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