The electrospun nanofibrous mat is an emerging tool for drug release studies. Therefore, it is essential to predict this type of system's drug release behavior to overcome the existing problems and generate novel drug release systems. In the present work, a numerical study is performed for fulfilling this requirement, and the current numerical data is validated with the experimental study, which is available in the open literature. Transient Langmuir-Freundlich adsorption-desorption isotherm is employed for describing the drug release behavior of the electrospun nanofibrous system under perfect sink conditions. The effect of the diffusion phenomenon is also taken into account. Drug release rates are investigated for different initial drug concentrations, porosity values, permittivity mass coefficients, and mat surface areas. Moreover, the relationship between the porosity and the initial drug concentration is also presented. It can be reported that significant alterations occur in drug release rates through varied initial drug concentrations and porosity. Although the drug release rate is altered with permittivity coefficient or surface area, minor variations are observed compared to the parameters above. The results of the numerical code agree well with the experimental data.