University of Tabriz Computational Methods for Differential Equations 2345-3982 10 3 2022 07 01 Existence and properties of positive solutions for Caputo fractional difference equation and applications 567 579 13909 10.22034/cmde.2021.46257.1941 EN Tahereh Haghi Department of Mathematics, Sahand University of Technology, Tabriz, Iran. Kazem Ghanbari Department of Mathematics, Sahand University of Technology, Tabriz, Iran. Journal Article 2021 05 28 This paper deals with a typical Caputo fractional differential equation. This equation appears in important applications such as modeling of medicine distributed throughout the body via injection and equation for general population growth. We use the fixed point theory of concave operators in specific normed spaces to find a parameter interval for which the unique positive solution exists. Some properties of positive solutions are studied and illustrative examples are given.  Green’s function Positive solution fixed point theorem Fractional difference equation https://cmde.tabrizu.ac.ir/article_13909_2b9e8bdc8391e5e59144eb54d65285cd.pdf