Asymptotic behavior of solutions to second-order differential equations with fractional derivative perturbations

Asymptotic behavior of solutions to second-order differential equations with fractional derivative perturbations

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.

Bibliographic Details
Main Authors: Eva Brestovanska, Milan Medved
Format: Article
Language:English
Published: Texas State University 2014-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Rimann-Liouville derivative
Caputo's derivative
fractional differential equation
asymptotic behavior
Online Access:http://ejde.math.txstate.edu/Volumes/2014/201/abstr.html
Description
Summary: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.
ISSN:1072-6691

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