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MEDVEĎ, M. POSPÍŠIL, M.
Original Title
Asymptotic integration of fractional differential equations with integrodifferential right-hand side
Type
journal article in Web of Science
Language
English
Original Abstract
In this paper we deal with the problem of asymptotic integration of a class of fractional differential equations of the Caputo type. The left-hand side of such type of equation is the Caputo derivative of the fractional order r is an element of (n - 1, n) of the solution, and the right-hand side depends not only on ordinary derivatives up to order n - 1 but also on the Caputo derivatives of fractional orders 0 < r(1) < . . . < r(m) < r, and the Riemann-Liouville fractional integrals of positive orders. We give some conditions under which for any global solution x(t) of the equation, there is a constant c is an element of R such that x(t) = ct(R) + o(t(R)) as t --> infinity where R = max{n - 1, r(m)}.
Keywords
Caputo fractional derivative; nonlinear equation; asymptotic property; desingularization.
Authors
MEDVEĎ, M.; POSPÍŠIL, M.
RIV year
2015
Released
20. 7. 2015
Publisher
Vilnius Gediminas Technical University
ISBN
1392-6292
Periodical
Mathematical Modelling and Analysis
Year of study
20
Number
4
State
Republic of Lithuania
Pages from
471
Pages to
489
Pages count
19
URL
https://journals.vgtu.lt/index.php/MMA/article/view/1014
Full text in the Digital Library
http://hdl.handle.net/11012/201155
BibTex
@article{BUT115801, author="Milan {Medveď} and Michal {Pospíšil}", title="Asymptotic integration of fractional differential equations with integrodifferential right-hand side", journal="Mathematical Modelling and Analysis", year="2015", volume="20", number="4", pages="471--489", doi="10.3846/13926292.2015.1068233", issn="1392-6292", url="https://journals.vgtu.lt/index.php/MMA/article/view/1014" }