OSCILLATION CRITERIA FOR A CLASS OF NONLINEAR DISCRETE FRACTIONAL ORDER EQUATIONS WITH DAMPING TERM

被引：6

作者：

Chatzarakis, George E. ^{[1
]}

Selvam, George M. ^{[2
]}

Janagaraj, Rajendran ^{[2
]}

Miliaras, George N. ^{[1
]}

机构：

[1] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educators, Athens 1121, Greece

[2] Sacred Heart Coll Autonomous, Dept Math, Tirupattur 635601, Tamil Nadu, India

来源：

MATHEMATICA SLOVACA | 2020年 / 70卷 / 05期

关键词：

oscillation; fractional order; difference equations; Riccati transformation; damping term;

D O I：

10.1515/ms-2017-0422

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim in this work is to investigate oscillation criteria for a class of nonlinear discrete fractional order equations with damping term of the form Delta[a(t)[Delta(r(t)g (Delta(alpha)x(t)))](beta)]+ p(t) [Delta(r(t)g (Delta(alpha)x(t)))](beta) + F(t,G(t)) = 0,t is an element of N-to. In the above equation alpha (0 < alpha <= 1) is the fractional order, G(t) = Sigma(t-1+alpha)(s=t0) (t - s 1)((-alpha))x(s) and Delta(alpha) is the difference operator of the Riemann-Liouville (R-L) derivative of order alpha. We establish some new sufficient conditions for the oscillation of fractional order difference equations with damping term based on a Riccati transformation technique and some inequalities. We provide numerical examples to illustrate the validity of the theoretical results. (C) 2020 Mathematical Institute Slovak Academy of Sciences

引用

页码：1165 / 1182

页数：18

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