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Contemporary Mathematics. Fundamental Directions, 2008, Volume 29, Pages 49–61 (Mi cmfd123)  
This article is cited in 1 scientific paper (total in 1 paper)

Inverse problems for evolution equations with fractional integrals at boundary-value conditions

A. V. Glushak

Belgorod State University
Full-text PDF (185 kB) Citations (1)
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Abstract: The following problem is considered: to find a solution and a term of a first-order differential equation in a Banach space if the initial-value condition and an excessive condition containing the fractional Riemann–Liouville integral are given. We show that the solvability of the considered problem depends on the distributions of zeroes of the Mittag-Leffler function.
English version:
Journal of Mathematical Sciences, 2010, Volume 164, Issue 4, Pages 518–530
DOI: https://doi.org/10.1007/s10958-010-9760-0
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: A. V. Glushak, “Inverse problems for evolution equations with fractional integrals at boundary-value conditions”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 29, PFUR, M., 2008, 49–61; Journal of Mathematical Sciences, 164:4 (2010), 518–530
Citation in format AMSBIB
\Bibitem{Glu08}
\by A.~V.~Glushak
\paper Inverse problems for evolution equations with fractional integrals at boundary-value conditions
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2008
\vol 29
\pages 49--61
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd123}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2472263}
\elib{https://elibrary.ru/item.asp?id=15313307}
\transl
\jour Journal of Mathematical Sciences
\yr 2010
\vol 164
\issue 4
\pages 518--530
\crossref{https://doi.org/10.1007/s10958-010-9760-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949286895}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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