Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters

Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters

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...

Full description

Bibliographic Details
Main Authors: Danfeng Luo, Zhiguo Luo, Hongjun Qiu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/9372406
id doaj-beead9f739624b588e867a8305be0acc
record_format Article
spelling doaj-beead9f739624b588e867a8305be0acc2020-11-25T04:11:44ZengHindawi LimitedMathematical Problems in Engineering1563-51472020-01-01202010.1155/2020/93724069372406Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with ParametersDanfeng Luo0Zhiguo Luo1Hongjun Qiu2Department of MathematicsKey Laboratory of Computing and Stochastic Mathematics (Ministry of Education)School of ScienceThis 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.http://dx.doi.org/10.1155/2020/9372406
collection DOAJ
language English
format Article
sources DOAJ
author Danfeng Luo
Zhiguo Luo
Hongjun Qiu
spellingShingle Danfeng Luo
Zhiguo Luo
Hongjun Qiu
Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters
Mathematical Problems in Engineering
author_facet Danfeng Luo
Zhiguo Luo
Hongjun Qiu
author_sort Danfeng Luo
title Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters
title_short Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters
title_full Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters
title_fullStr Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters
title_full_unstemmed Existence and Hyers–Ulam Stability of Solutions for a Mixed Fractional-Order Nonlinear Delay Difference Equation with Parameters
title_sort existence and hyers–ulam stability of solutions for a mixed fractional-order nonlinear delay difference equation with parameters
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/9372406
work_keys_str_mv AT danfengluo existenceandhyersulamstabilityofsolutionsforamixedfractionalordernonlineardelaydifferenceequationwithparameters
AT zhiguoluo existenceandhyersulamstabilityofsolutionsforamixedfractionalordernonlineardelaydifferenceequationwithparameters
AT hongjunqiu existenceandhyersulamstabilityofsolutionsforamixedfractionalordernonlineardelaydifferenceequationwithparameters
_version_ 1715033992867086336

Similar Items