On the asymptotic behavior of positive solutions of certain fractional differential equations (Q1667018)

Summary: This paper deals with the asymptotic behavior of positive solutions of certain forced fractional differential equations of the form \(^CD_c^\alpha C y \left(t\right) = e \left(t\right) + f \left(t, x \left(t\right)\right)\), \(c > 1\), \(\alpha \in \left(0,1\right)\), where \(y \left(t\right) = \left(a \left(t\right) x' \left(t\right)\right)'\), \(c_0 = y(c) / \Gamma(1) = y \left(c\right)\), and \(c_0\) is a real constant. From the obtained results, we derive a technique which can be applied to some related fractional differential equations.