OPEN PHYSICS, vol.14, pp.119-128, 2016 (Peer-Reviewed Journal)
Article / Article
Science Citation Index Expanded, Scopus
oscillation, oscillation criteria, fractional derivative, modified Riemann-Lioville derivative, damping term, BOUNDARY-VALUE PROBLEM, POSITIVE SOLUTIONS, EXISTENCE, STABILITY
In 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 technique we establish new oscillation criteria for the fractional differential equation. Several illustrative examples are also given.