Title of article :
Existence and properties of positive solutions for Caputo fractional difference equation and applications
Author/Authors :
Haghi, Tahereh Department of Mathematics - Sahand University of Technology, Tabriz, Iran , Ghanbari, Kazem Department of Mathematics - Sahand University of Technology, Tabriz, Iran
Abstract :
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.
Keywords :
Green’s function , Positive solution , Fixed point theorem , Fractional difference equation
Journal title :
Computational Methods for Differential Equations
