Eva Brestovanska Milan Medved
Abstract:
In this article we study the asymptotic behavior of solutions to
nonlinear second-order differential equations having perturbations
that involve Caputo's derivatives of several fractional orders.
We find sufficient conditions for all solutions to be
asymptotic to a straight line.
Submitted June 16, 2014. Published September 26, 2014.
Math Subject Classifications: 34E10, 24A33.
Key Words: Rimann-Liouville derivative; Caputo's derivative;
fractional differential equation; asymptotic behavior.
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Eva Brestovanska Department of Economics and Finance Faculty of Management, Comenius University Odbojarov str., 831 04 Bratislava, Slovakia email: Eva.Brestovanska@fm.uniba.sk |
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Milan Medved Department of Mathematical Analysis and Numerical Mathematics Faculty of Mathematics, Physics and Informatics Comenius University, 842 48 Bratislava, Slovakia email: Milan.Medved@fmph.uniba.sk |
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