A Comparative Analysis of Fractional-Order Fokker–Planck Equation

The importance of partial differential equations in physics, mathematics and engineering cannot be emphasized enough. Partial are used to represent physical processes, which then solved analytically or numerically examine the dynamical behaviour system. new iterative approach Homotopy perturbation method this article solve fractional order Fokker–Planck equation numerically. Caputo sense is characterize derivatives. suggested approach’s accuracy applicability demonstrated using illustrations. proposed method’s expressed terms absolute error. methods found good agreement with exact solution problems graphs tables. results acquired given approaches also obtained at various orders derivative. It observed from tables that solutions converge an integer when integer-order problems. tabular graphical view for through Maple. presented can applied existing non-linear due their accurate, simple straightforward implementation.