- Hacettepe Journal of Mathematics and Statistics
- Vol: 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 : 7 | Download : 3
Publication Date : 2018-04-01
Article Type : Research
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