# 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.