Parameter interval of positive solutions for a system of fractional difference equation

[摘要] This paper deals with a typical system of Caputo fractional difference equations. Using the Guo–Krasnosel’skii fixed point theorem, we find a parameter interval for which at least one positive solution of the system exists. We give two examples to illustrate the results.

[学科分类] 航空航天科学

[关键词] Fractional difference equation;Caputo difference operator;Green’s function;System of difference equations