# On the Asymptotic Behavior of Solutions of Certain Forced Fractional Differential Equations

### Abstract

This paper is concerned with the asymptotic behavior of nonoscillatorysolutions of forced fractional differential equations of the form

\begin{equation*}

^{C}D_{c}^{\alpha }y(t)=e(t)+f(t,x(t)), \quad c>1,\quad \alpha \in (0,1),

\end{equation*}

where $y(t) = x^{\prime \prime \prime}(t)$, $c_{0}=\frac{y(c)}{\Gamma

(1)}=y(c)$, and $c_{0}$ is a real constant. In obtaining their results,

the authors develop a technique that can be applied to some

related fractional differential equations with Caputo derivatives of

any order. An example is also provided to illustrate the results.

Published

May 28, 2017

How to Cite

GRACE, Said R.; GRAEF, John R.; TUNC, Ercan.
On the Asymptotic Behavior of Solutions of Certain Forced Fractional Differential Equations.

**Nonlinear Studies**, [S.l.], v. 24, n. 2, p. 329-336, may 2017. ISSN 2153-4373. Available at: <http://nonlinearstudies.com/index.php/nonlinear/article/view/1353>. Date accessed: 19 oct. 2017.
Section

Articles