Asymptotic integration of fractional differential equations with integrodifferential right-hand side

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F15%3APU115094" target="_blank" >RIV/00216305:26220/15:PU115094 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3846/13926292.2015.1068233" target="_blank" >http://dx.doi.org/10.3846/13926292.2015.1068233</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3846/13926292.2015.1068233" target="_blank" >10.3846/13926292.2015.1068233</a>

Result language
angličtina
Original language name
Asymptotic integration of fractional differential equations with integrodifferential right-hand side
Original language description
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∈(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∈R such that x(t)=ct^q+o(t^q) as t→∞, where q=max⁡{n-1,r_m}.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/ED1.1.00%2F02.0068" target="_blank" >ED1.1.00/02.0068: Central european institute of technology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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