New approach for the solution of time fractional Fokker-Planck equation

Çetinkaya S., Demir A.

International Dumlupınar Science and Mathematics Congress, Kütahya, Türkiye, 5 - 07 Eylül 2022, ss.489-498

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Kütahya
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.489-498
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, we take the time fractional Fokker-Planck equations in hand and establish its numerical

solution by utilizing a new integral transformation named Shehu transformation and homotopy analysis

method (SHAM) together. First of all, the time fractional Fokker-Planck equation is reduced into

ordinary differential equation by means of Shehu transformation. Secondly, applying homotopy analysis

method to the obtained ordinary differential equation. At the final step, numerical solution is established

by taking inverse Shehu transformation into account. SHAM produces a numerical solution in the series

form as the other integral transformations produce. The implementation and application of SHAM are

straightforward.