Special Session 16: The recent progress on qualitative theory of dynamical systems

Positive Solutions for a Class of Integral Boundary Value Problem of Fractional q-Difference Equations
Shugui Kang
Shanxi Datong University
Peoples Rep of China
Co-Author(s):    Yunfang Zhang, Huiqin Chen and Wenying Feng
Abstract:
In this talk, we studies a class of integral boundary value problem of fractional q-difference equations. We first give an explicit expression for the associated Green's function and obtain an important property of the function. The new property allows us to prove sufficient conditions for the existence of positive solutions based on the associated parameter. The results are derived from the application of a fixed point theorem on order intervals.