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

Pimchana SiricharuanunSaowaluck ChasreechaiThanin Sitthiwirattham2025-03-102025-03-102020Advances in Difference Equations1687183910.1186/s13662-020-02904-62-s2.0-85089920283https://repository.dusit.ac.th//handle/123456789/4770We 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 KrasnoselskiiÕs fixed point theorem for a cone map. Finally, we give some examples to illustrate our results. © 2020, The Author(s).All Open Access; Gold Open AccessConeGreenÕs functionPositive solutionSystem of fractional difference equationsExistence and multiplicity of positive solutions to a system of fractional difference equations with parametersArticleScopus