A monotonicity result for the $q-$fractional operator

Bahaaeldin Abdalla, Thabet Abdeljawad, Juan J. Nieto

In this article we prove that if the $q-$fractional operator $({}_q{\nabla }_{qa}^{\alpha }y)(t)$ of order $0<\alpha \le 1$ , $0<q<1$ and starting at some $qa \in T_q=\{q^k: k \in \mathbb{Z}\}\cu…