Oscillation criteria for nonlinear fractional differential equation with damping term

Mustafa Bayram, Hakan Adiguzel, Aydin Secer
2016 Open Physics  
AbstractIn this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a generalized Riccati transformation, inequalities, and integration average techniquewe establish new oscillation criteria for the fractional differential equation. Several illustrative examples are also given.
doi:10.1515/phys-2016-0012 fatcat:26g7lhcqabewpocb356ftnon4i