EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL Q-DIFFERENCE EQUATIONS.

In this work, two different boundary value problems of fractional q-difference equation are discussed. The first one is fractional q-difference equation with integral boundary conditions and the other one is three point boundary value problem of fractional q-difference equation with p-Laplacian. By using fixed point theorems, some sufficient conditions that guarantee the existence and uniqueness of solutions are given. [ABSTRACT FROM AUTHOR]