On the nonoscillatory behavior of solutions of three classes of fractional difference equations

Opuscula Mathematica

article

Said Rezk Grace¹  Jehad Alzabut (corresponding author)²  Sakthivel Punitha³  Velu Muthulakshmi³  Hakan Adıgüzel⁴ 

[1] Faculty of Engineering, Cairo University, Department of Engineering Mathematics;Prince Sultan University, Department of Mathematics and General Sciences;Periyar University, Department of Mathematics;Sakarya University of Applied Sciences, Vocational School of Arifiye

关键词: Caputo difference operator;    nonoscillation criteria;    fractional difference equation;    mathematical inequalities.;   

DOI  :  10.7494/OpMath.2020.40.5.549

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

In this paper, we study the nonoscillatory behavior of three classes of fractional difference equations. The investigations are presented in three different folds. Unlike most existing nonoscillation results which have been established by employing Riccati transformation technique, we employ herein an easily verifiable approach based on the fractional Taylor's difference formula, some features of discrete fractional calculus and mathematical inequalities. The theoretical findings are demonstrated by examples. We end the paper by a concluding remark.

【 授权许可】

CC BY-NC