Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method

H. M. Younas, Muhammad Mustahsan, Tareq Manzoor, Nadeem Salamat and S. Iqbal
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H. M. Younas: Department of Mathematics, Islamia University of Bahawalpur, Bahawalpur 63100, Paakistan
Muhammad Mustahsan: Department of Mathematics, Islamia University of Bahawalpur, Bahawalpur 63100, Paakistan
Tareq Manzoor: Energy Research Center, COMSATS University, Lahore 54000, Pakistan
Nadeem Salamat: Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan 64200, Pakistan
S. Iqbal: Department of Informatics and Systems, School of Systems and Technology, University of Management and Technology, Lahore 54000, Pakistan

Mathematics, 2019, vol. 7, issue 3, 1-19

Abstract: In this article, Optimal Homotopy Asymptotic Method (OHAM) is used to approximate results of time-fractional order Fokker-Planck equations. In this work, 3rd order results obtained through OHAM are compared with the exact solutions. It was observed that results from OHAM have better convergence rate for time-fractional order Fokker-Planck equations. The solutions are plotted and the relative errors are tabulated.

Keywords: fractional calculus; time-fractional order Fokker-Planck equations; approximate solutions; Optimal Homotopy Asymptotic Method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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