ANALYTICAL STUDY OF FRACTALS FRACTIONAL ORDER (3 + 1)-DIMENSIONAL POPULATION DYNAMICAL MODEL

Abstract

Fractals fractional calculus has received great attention in the last few years. This is due to the significant applications of the mentioned area in diverse field of science and technology. Also, the aforementioned area has been utilized very well to investigate various problems of porous media. It is important to mention that classical fractals differentiation (Hausdorff derivative) is also an old concept like the usual ordinary and fractional-order derivatives. Keeping the said importance, we investigate a population dynamical model of [Formula: see text] dimensional using the fractals derivative involving fractional order with power law kernel. We compute the analytical results through Laplace transform coupled with Adomian decomposition method (LADM). A general algorithm first was established, which then extended to some examples. The convergence analysis of the adopted method has also been explained. In addition, for the computed approximate solution, some graphical illustrations have been provided to demonstrate the results.