Oscillation of non-instantaneous impulsive hybrid-fractional delay differential inclusions with Hilfer-Katugampola derivative

Abstract

The main concern of this work is to derive new existence results of oscillation and non-oscillation solutions for a version of discontinuous Hybrid fractional differential inclusions with delay and non-instantaneous impulses on a weighted space. At the attendance of delay, we set up some sufficient conditions, and we establish the weak topology (to exclude the compactness condition) and weakly sequentially closed maps to achieve the existing results under a suitable fixed point theorem. Assigned with the upper and lower method, the outcome oscillation behavior is then investigated in the sense of Katugampola fractional derivative. The results are validated by an applicable example. The method used is new and the series of the obtained results are aimed to deepen and expand the previous studies