Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters

被引：1

作者：

Siricharuanun, Pimchana ^{[1
]}

Chasreechai, Saowaluck ^{[2
]}

Sitthiwirattham, Thanin ^{[3
]}

机构：

[1] Kasetsart Univ, Fac Sci, Dept Math, Bangkok 10900, Thailand

[2] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Bangkok 10800, Thailand

[3] Suan Dusit Univ, Fac Sci & Technol, Math Dept, Bangkok 10300, Thailand

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Positive solution; System of fractional difference equations; Green's function; Cone; 39A05; 39A12; BOUNDARY-VALUE-PROBLEMS; CHAOS SYNCHRONIZATION; UNIQUENESS; RIEMANN; NABLA;

D O I：

10.1186/s13662-020-02904-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a fractional difference-sum boundary problem for a system of fractional difference equations with parameters. Using the Banach fixed point theorem, we prove the existence and uniqueness of solutions. We also prove the existence of at least one and two solutions by using the Krasnoselskii's fixed point theorem for a cone map. Finally, we give some examples to illustrate our results.

引用

页数：16

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