摘要：In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space c. Our analysis relies on the Krasnosel’skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in C 1 ( J , c ) $C^)(J, \mathbf{c})$ . Finally, an example is given to illustrate our abstract results.
关键词：Infinite system ; Banach sequence spaces ; Positive solution ; Fractional order boundary value problems
