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

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Hacettepe Journal of Mathematics and Statistics
Volume:47 Issue:2
On the oscillation of higher order fractional difference equations with mixed nonlinearities

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

Authors : Bahaaeldin ABDALLA, Jehad ALZABUT, Thabet ABDELJAWAD

Pages : 207-217

View : 22 | Download : 8

Publication Date : 2018-04-01

Article Type : Research Paper

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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