AUT Journal of Mathematics and Computing

AUT Journal of Mathematics and Computing

Numerical solutions of fractional Fokker-Planck equation with hybrid method of solution

Document Type : Original Article

Authors
Oludapo Omotola Olubanwo
Sunday Senayon Idowu
Julius Temitayo Adepoju
Abiodun Sufiat Ajani
Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Ago-Iwoye, Ogun State, Nigeria
10.22060/ajmc.2024.23176.1238
Abstract
The work employs a numerical method for the solution of Fractional Fokker-Planck Equation (FFPE) using the Homotopy Perturbation and Aboodh Transform Method (HPATM). Fractional derivatives issues are successfully solved using the hybrid approach, which yields rapidly convergent solutions. By resolving two cases and contrasting estimated outcomes with exact solutions for various fractional orders, the correctness of the technique was proven. The accuracy of the technique is demonstrated by the good match between the precise and approximation solutions at $\alpha=1$. The findings indicate that fractional differential equations may be solved with a strong and dependable approach using HPATM, which can also be used to describe anomalous diffusion and other intricate physical phenomena.
Keywords
Fokker-Planck equation
FPDE
HPM
Integral transforms
Subjects
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AUT Journal of Mathematics and Computing
Volume 7, Issue 2
2026
Pages 137-149