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

Bahaaeldin Abdalla | Zendy; Jehad Alzabut | Zendy; Thabet Abdeljawad | Zendy

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

Author(s) -

Bahaaeldin Abdalla,

Jehad Alzabut,

Thabet Abdeljawad

Publication year - 2017

Publication title -

hacettepe journal of mathematics and statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.312

H-Index - 26

ISSN - 1303-5010

DOI - 10.15672/hjms.2017.458

Subject(s) - mathematics , oscillation (cell signaling) , order (exchange) , mathematical analysis , genetics , finance , economics , biology

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.

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