A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering

Authors : Ozan ÖZKAN, Ali KURT

Pages : 111-119

Doi:10.54187/jnrs.1109009

View : 16 | Download : 13

Publication Date : 2022-08-31

Article Type : Research Paper

Abstract :In this work, we proposed a hybrid algorithm to approximate the solution of Conformable Fractional Fokker-Planck Equation insert ignore into journalissuearticles values(CFFPE);. This algorithm comprises of unification of two methods named Fractional Wave Transformation Method insert ignore into journalissuearticles values(FWTM); and Differential Transform Method insert ignore into journalissuearticles values(DTM);. The method is based on two steps. The first step is to reduce the given CFPDEs to corresponding Partial Differential Equations insert ignore into journalissuearticles values(PDEs);. Then, the second step is to solve obtained PDEs iteratively by using DTM. Moreover, the algorithm’s efficiency is shown by employing the method successfully to conformable time-fractional Fokker-Planck equation arising in surface physics, plasma physics, polymer physics, laser physics, biophysics, engineering, neurosciences, nonlinear hydrodynamics, population dynamics, pattern formation and marketing. As a result, the obtained data demonstrate that the algorithm is reliable and applicable.
Keywords : Conformable fractional partial differential equations, Fractional wave transform method, Differential transform method, Time fractional Fokker Plank equation