This paper introduces a new subclass of harmonic functions with a positive real part, denoted by $H{P}_q(\beta )$, where $0\le \beta <1$ and $0<q<1$. A sufficient coefficient condition is established for functions within this class, which is also necessary when dealing with negative coefficients. In addition, the growth theorem is derived, and the extreme points associated with this subclass are also identified. Finally, the $q$-integral operator for harmonic functions of the form $f=h+g$ with a positive real part is presented.

In this paper, we introduced and studied two new classes of analytic functions using the concepts of subordination and q-calculus. We established inclusion relations for these q-classes and integral-preserving properties associated with the q-integral operator. We also determined certain convolution properties.