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

Advances in Difference Equations

article

Siricharuanun, Pimchana¹  Chasreechai, Saowaluck²  Sitthiwirattham, Thanin³ 

[1] Department of Mathematics, Faculty of Science, Kasetsart University;Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok;Mathematics Department, Faculty of Science and Technology, Suan Dusit University

关键词: Positive solution;    System of fractional difference equations;    Green’s function;    Cone;   

DOI  :  10.1186/s13662-020-02904-6

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY