Lie Symmetry Analysis of a Class of Fractional Partial Differential Equation

Abstract

This paper presents a type of fractional partial differential equations that play a major role in the development of mathematics and its applications in science and engineering. Partial differential equations govern an extensive spectrum of bodily phenomena consisting of binary fluid combos’ problems. This studies article intends to make use of outcomes on Lie symmetry analysis guidelines for the time-fractional Navier-Stokes equation in two-dimensional space. Such a fractional equation yields the mathematical version which describes an incidence of desk bound spatial stripe modalities in a two-dimensional gadget withinside the framework of the idea of conservation laws guidelines. The applied fractional version is impartial of the form of the approximate strategies hired to remedy it and may be carried out for specific real-international packages inclusive of magneto hydrodynamics and environmental flow processes. Finally, a few concluding feedback and destiny pointers are applied.