Bounded Non-oscillatory Solutions of Nabla Forced Fractional Difference Equations with Positive and Negative Terms

被引：2

作者：

Alzabut, J. ^{[1
,2
]}

Grace, S. R. ^{[3
]}

Jonnalagadda, J. M. ^{[4
]}

Thandapani, E. ^{[5
]}

机构：

[1] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[2] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkiye

[3] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt

[4] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad 500078, Telangana, India

[5] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, India

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 01期

关键词：

Caputo nabla fractional difference; Forced fractional difference equation; Non-oscillatory solution; Boundedness; Positive and negative terms; EXISTENCE;

D O I：

10.1007/s12346-022-00729-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the boundedness of non-oscillatory solutions of nabla fractional difference equations with positive and negative terms. Unlike the methods existing in the literature, our approach is primarily based on the new defined properties of discrete fractional calculus and some mathematical inequalities. Examples are provided to support the validity of the obtained results.

引用

页数：16

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