On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations

This paper deals with the asymptotic behavior of nonoscillatory solutions of fractional differential equations of the form C D a α y = e ( t ) + f ( t , x ), t ≥ a where 0 < α < 1, a ≥ 0, C D a α y denotes the Caputo fractional derivative of order α of y . The following particular cases are considered: y = ( r ( t )| x′ | δ -1 x′ ) ′ , ( δ ≥ 1), y = x′ , y = x . We offer a method that can be applied to investigate more general class of fractional differential equations as well.