<p>This study primarily aims to establish pathway fractional integral representations of the extended Gauss and Kummer hypergeometric logarithmic functions. By selecting particular parameter values, various established special functions can be generated as special cases of these functions, demonstrating the validity of our proposed results. The proposed findings are novel and have the potential for significant applications in a variety of applied science and mathematics disciplines. These results not only extend existing fractional integral formulas but also provide a flexible analytical tool for unifying and generalizing a broad class of special functions.</p>