On Solvability of Fractional (p , q)-Difference Equations with (p , q)-Difference Anti-Periodic Boundary Conditions.

We discuss the solvability of a (p , q) -difference equation of fractional order α ∈ (1 , 2 ] , equipped with anti-periodic boundary conditions involving the first-order (p , q) -difference operator. The desired results are accomplished with the aid of standard fixed point theorems. Examples are presented for illustrating the obtained results. [ABSTRACT FROM AUTHOR]