Possibility of conversion of half-linear oscillation results to criteria for equations with Jumarie operator

Abstract

Recently several authors have started to examine qualitative properties of fractional equations and among them, some have devoted their attention to equations with the so called modified Riemann-Liouville derivative, which was established by Jumarie. Their results utilize nice properties of Jumarie operator and in fact convert statements from integer order differential equations to those with Jumarie derivative. The aim of this paper is to give a survey of existing results and comment on the possibility of getting similar results when converting from half-linear criteria. © 2018 Author(s).