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

被引：19

作者：

Luo, Danfeng ^{[1
]}

Luo, Zhiguo ^{[2
]}

Qiu, Hongjun ^{[3
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, Minist Educ, Key Lab Comp & Stochast Math, Changsha 410081, Peoples R China

[3] Jiujiang Univ, Sch Sci, Jiujiang 332005, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

POSITIVE SOLUTIONS; DIFFUSION; SYSTEMS;

D O I：

10.1155/2020/9372406

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：12

共 46 条

[1] Abdeljawad T., 2017, ARAB J OFMATHEMATICA, V23, P157, DOI DOI 10.1016/j.ajmsc.2016.07.001
[2] Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequality
Abdeljawad, Thabet
Al-Mdallal, Qasem M.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 : 218 - 230
[3] A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems
Abdeljawad, Thabet
Alzabut, Jehad
Baleanu, Dumitru
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[4] Two-point boundary value problems for finite fractional difference equations
Atici, Ferhan M.
Eloe, Paul W.
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (04) : 445 - 456
[5] Existence and multiplicity of positive solutions for singular fractional boundary value problems
Bai, Zhanbing
Sun, Weichen
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (09) : 1369 - 1381
[6] An innovative fractional order LMS algorithm for power signal parameter estimation
Chaudhary, Naveed Ishtiaq
Latif, Rizwan
Raja, Muhammad Asif Zahoor
Tenreiro Machado, J. A.
[J]. APPLIED MATHEMATICAL MODELLING, 2020, 83 : 703 - 718
[7] A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations
Dassios, Ioannis K.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 : 317 - 328
[8] Stability and Robustness of Singular Systems of Fractional Nabla Difference Equations
Dassios, Ioannis K.
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2017, 36 (01) : 49 - 64
[9] Duality of singular linear systems of fractional nabla difference equations
Dassios, Ioannis K.
Baleanu, Dumitru I.
[J]. APPLIED MATHEMATICAL MODELLING, 2015, 39 (14) : 4180 - 4195
[10] On a singular system of fractional nabla difference equations with boundary conditions
Dassios, Ioannis K.
Baleanu, Dumitru I.
[J]. BOUNDARY VALUE PROBLEMS, 2013,

← 1 2 3 4 5 →