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Oscillation Results for a Class of Nonlinear Fractional Order Difference Equations with Damping Term
Joint Authors
Alzabut, Jehad O.
Selvam, A. George Maria
Jacintha, Mary
Özbekler, Abdullah
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The paper studies the oscillation of a class of nonlinear fractional order difference equations with damping term of the form Δψλzηλ+pλzηλ+qλF∑s=λ0λ−1+μ λ−s−1−μys=0, where zλ=aλ+bλΔμyλ, Δμ stands for the fractional difference operator in Riemann-Liouville settings and of order μ, 0<μ≤1, and η≥1 is a quotient of odd positive integers and λ∈ℕλ0+1−μ.
New oscillation results are established by the help of certain inequalities, features of fractional operators, and the generalized Riccati technique.
We verify the theoretical outcomes by presenting two numerical examples.
American Psychological Association (APA)
Selvam, A. George Maria& Alzabut, Jehad O.& Jacintha, Mary& Özbekler, Abdullah. 2020. Oscillation Results for a Class of Nonlinear Fractional Order Difference Equations with Damping Term. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1185536
Modern Language Association (MLA)
Selvam, A. George Maria…[et al.]. Oscillation Results for a Class of Nonlinear Fractional Order Difference Equations with Damping Term. Journal of Function Spaces No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1185536
American Medical Association (AMA)
Selvam, A. George Maria& Alzabut, Jehad O.& Jacintha, Mary& Özbekler, Abdullah. Oscillation Results for a Class of Nonlinear Fractional Order Difference Equations with Damping Term. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1185536
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185536