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Matematicheskie Zametki, 2010, Volume 87, Issue 5, Pages 684–693
DOI: https://doi.org/10.4213/mzm4437 (Mi mzm4437) 		 
This article is cited in 20 scientific papers (total in 20 papers)

On an Inverse Problem for an Abstract Differential Equation of Fractional Order

A. V. Glushak

Belgorod State University
Full-text PDF (457 kB) Citations (20)
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DOI: https://doi.org/10.4213/mzm4437
Abstract: In Banach space, we consider the problem of determining the solution and a summand of a differential equation of fractional order from the initial and redundant conditions containing fractional Riemann–Liouville integrals. It is shown that the solvability of the problem under consideration depends on the distribution of zeros of the Mittag–Leffler function.
Keywords: differential equation of fractional order, Riemann–Liouville integral, densely defined linear operator, Mittag–Leffler function, Cesàro mean, Banach space.
Received: 21.01.2008
English version:
Mathematical Notes, 2010, Volume 87, Issue 5, Pages 654–662
DOI: https://doi.org/10.1134/S0001434610050056
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: A. V. Glushak, “On an Inverse Problem for an Abstract Differential Equation of Fractional Order”, Mat. Zametki, 87:5 (2010), 684–693; Math. Notes, 87:5 (2010), 654–662
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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