Fractional solution of the puff model in three dimensional for pollutant dispersion in the atmosphere

Abstract An analytical solution of the three-dimensional fractional time-dependent advection-diffusion equation (ADE) in the puff model is solved. A simple model of the fractional differential equation for an instantaneous emission in non-homogeneous and time-dependent meteorological conditions has been studied. A Generalized Integral Laplace Transform Technique (GILTT) has been used to solve this problem. A comparison between the proposed model, previous work, and observed concentration from the experiment of Copenhagen is made.