On oscillatory and nonoscillatory behavior of solutions for a class of fractional order differential equations

Abstract

This work aims to develop oscillation criterion and asymptotic behavior of solutions for a class of fractionalorder differential equation: $D_0^au(t)+lambda u(t)=f(t,;u(t)),;t>0$, $D_0^{a-1}u(t)vert_{t=0=u_{0,;}}lim_{trightarrow0};J_0^{2-a}u(t)=u_{1,}$ where $D_0^a$ denotes the Riemann–Liouville differential operator of order a with $1