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Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters
Joint Authors
Qiu, Hongjun
Luo, Zhiguo
Luo, Danfeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-31
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper focuses on a kind of mixed fractional-order nonlinear delay difference equations with parameters.
Under some new criteria and by applying the Brouwer theorem and the contraction mapping principle, the new existence and uniqueness results of the solutions have been established.
In addition, we deduce that the solution of the addressed equation is Hyers–Ulam stable.
Some results in the literature can be generalized and improved.
As an application, three typical examples are delineated to demonstrate the effectiveness of our theoretical results.
American Psychological Association (APA)
Luo, Danfeng& Luo, Zhiguo& Qiu, Hongjun. 2020. Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1202197
Modern Language Association (MLA)
Luo, Danfeng…[et al.]. Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1202197
American Medical Association (AMA)
Luo, Danfeng& Luo, Zhiguo& Qiu, Hongjun. Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1202197
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202197