On fractional $q$-extensions of some $q$-orthogonal polynomials
  Fractional $q$-extensions of some classical $q$-orthogonal polynomials are introduced and some of the main properties of the new defined functions are given. Next, a fractional $q$-difference equation of Gauss type is introduced and solved by means of power series method. 
P. Njionou Sadjang and S. Mboutngam
math.CA