On the asymptotic behavior of solutions of nonlinear differential equations of integer and also of non-integer order
We present conditions under which all solutions of the fractional differential equation with the Caputo derivative \begin{equation}\label{FDE} ^cD^\alpha_ax(t) = f(t, x(t)),\ \,a > 1,\ \alpha \in (1, 2), \end{equation} are asymptotic to $at+b$ as $t \to \infty$ for some real numbers $a, b.$
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2012-05-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1188 |