On the oscillation of higher order fractional difference equations with mixed nonlinearities

Year 2018, Volume: 47 Issue: 2, 207 - 217, 01.04.2018

Bahaaeldin Abdalla Jehad Alzabut Thabet Abdeljawad

Abstract

Based on certain mathematical inequalities and Volterra sum equations, we establish oscillation criteria for higher order fractional difference equations with mixed nonlinearities. The problem is addressed for equations involving Riemann-Liouville and Caputo operators. Two examples are constructed to demonstrate the validity of the proposed assumptions. Our results improve those obtained in the previous works.

Keywords

Oscillation of solutions, Fractional difference equations, Mixed nonlinearities

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