Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 7 2 2026 04 01 Numerical solution of fraction Fokker-Planck equation with hybrid method of solution 137 149 5610 10.22060/ajmc.2024.23176.1238 EN Oludapo Omotola Olubanwo Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Ago-Iwoye, Ogun State, Nigeria 0000-0003-2557-365X Sunday Senayon Idowu Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Ago-Iwoye, Ogun State, Nigeria Julius Temitayo Adepoju Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Ago-Iwoye, Ogun State, Nigeria 0009-0007-4399-5887 Abiodun Sufiat Ajani Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Ago-Iwoye, Ogun State, Nigeria Journal Article 2024 05 10 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. https://ajmc.aut.ac.ir/article_5610_049671e28a386427e432b3370a22aae4.pdf