Open AccessOn the nonoscillatory behavior of solutions of three classes of fractional difference equations
Author(s) -
Said R. Grace,
Jehad Alzabut,
Sakthivel Punitha,
Velu Muthulakshmi,
Hakan Adıgüzel
Publication year - 2020
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2020.40.5.549
Subject(s) - mathematics , fractional calculus , verifiable secret sharing , mathematical analysis , pure mathematics , calculus (dental) , set (abstract data type) , computer science , medicine , dentistry , programming language
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.