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
收藏
页数：16
相关论文
共 50 条
  • [1] Bounded Non-oscillatory Solutions of Nabla Forced Fractional Difference Equations with Positive and Negative Terms
    J. Alzabut
    S. R. Grace
    J. M. Jonnalagadda
    E. Thandapani
    Qualitative Theory of Dynamical Systems, 2023, 22
  • [2] Higher-Order Nabla Difference Equations of Arbitrary Order with Forcing, Positive and Negative Terms: Non-Oscillatory Solutions
    Alzabut, Jehad
    Grace, Said R. R.
    Jonnalagadda, Jagan Mohan
    Santra, Shyam Sundar
    Abdalla, Bahaaeldin
    AXIOMS, 2023, 12 (04)
  • [3] Existence of bounded and unbounded non-oscillatory solutions for partial difference equations
    Li, C. F.
    Zhou, Yong
    MATHEMATICAL AND COMPUTER MODELLING, 2007, 45 (7-8) : 825 - 833
  • [4] OSCILLATORY AND NON-OSCILLATORY SOLUTIONS OF DYNAMIC EQUATIONS WITH BOUNDED COEFFICIENTS
    Hasil, Petr
    Vesely, Michal
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [5] Forced-Perturbed Fractional Differential Equations of Higher Order: Asymptotic Properties of Non-Oscillatory Solutions
    Grace, Said R.
    Chhatria, Gokula N.
    Kaleeswari, S.
    Alnafisah, Yousef
    Moaaz, Osama
    FRACTAL AND FRACTIONAL, 2025, 9 (01)
  • [6] OSCILLATORY PROPERTIES OF CERTAIN NONLINEAR FRACTIONAL NABLA DIFFERENCE EQUATIONS
    Li, Weinian
    Sheng, Weihong
    Zhang, Pingping
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (06): : 1910 - 1918
  • [7] Asymptotic behavior of solutions of fractional nabla difference equations
    Wu, Hongwu
    APPLIED MATHEMATICS LETTERS, 2020, 105
  • [8] SOLUTIONS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS - EXISTENCE AND UNIQUENESS
    Jonnalagadda, Jagan Mohan
    OPUSCULA MATHEMATICA, 2016, 36 (02) : 215 - 238
  • [9] Solutions of Perturbed Linear Nabla Fractional Difference Equations
    Jonnalagadda J.
    Differential Equations and Dynamical Systems, 2014, 22 (3) : 281 - 292
  • [10] EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NABLA FRACTIONAL DIFFERENCE EQUATIONS
    Mert, Raziye
    Peterson, Allan
    Abdeljawad, Thabet
    Erbe, Lynn
    DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (01): : 183 - 194
12345