  The main purpose of this paper is to present a systemic study of some
families of multiple $q$-Euler numbers and polynomials. In particular, by using
the $q$-Volkenborn integration on $\Bbb Z_p$, we construct $p$-adic $q$-Euler
numbers and polynomials of higher order. We also define new generating
functions of multiple $q$-Euler numbers and polynomials. Furthermore, we
construct Euler $q$-Zeta function. This paper is the version of the preprint of
my paper to publish in the special issues as the preprint part of this
proceedings.
