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Contemporary Mathematics. Fundamental Directions, 2010, Volume 35, Pages 5–21 (Mi cmfd141)  
This article is cited in 2 scientific papers (total in 2 papers)

On perturbations of abstract fractional differential equations by nonlinear operators

H. K. Avad, A. V. Glushak

Belgorod State University
Full-text PDF (206 kB) Citations (2)
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Abstract: We prove the unique solvability of a Cauchy-type problem for an abstract parabolic equation containing fractional derivatives and a nonlinear perturbation term. The result is applied to establish the solvability of the inverse coefficient problem for a fractional-order equation.
English version:
Journal of Mathematical Sciences, 2010, Volume 170, Issue 3, Pages 306–323
DOI: https://doi.org/10.1007/s10958-010-0087-7
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: H. K. Avad, A. V. Glushak, “On perturbations of abstract fractional differential equations by nonlinear operators”, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 1, CMFD, 35, PFUR, M., 2010, 5–21; Journal of Mathematical Sciences, 170:3 (2010), 306–323
Citation in format AMSBIB
\Bibitem{AvaGlu10}
\by H.~K.~Avad, A.~V.~Glushak
\paper On perturbations of abstract fractional differential equations by nonlinear operators
\inbook Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17--24, 2008). Part~1
\serial CMFD
\yr 2010
\vol 35
\pages 5--21
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752635}
\transl
\jour Journal of Mathematical Sciences
\yr 2010
\vol 170
\issue 3
\pages 306--323
\crossref{https://doi.org/10.1007/s10958-010-0087-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77957738077}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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