Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation

الملخص EN

A class of boundary value problems of Caputo fractional q-difference equation is introduced.

Green’s function and its properties for this problem are deduced.

By applying these properties and the Leggett-Williams fixed-point theorem, existence criteria of three positive solutions are obtained.

At last, some examples are given to illustrate the validity of our main results.