Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives

ÇETİNKAYA S., DEMİR A., BALEANU D.

Annals of the University of Craiova, Mathematics and Computer Science Series, cilt.48, sa.2, ss.334-348, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 2
  • Basım Tarihi: 2021
  • Dergi Adı: Annals of the University of Craiova, Mathematics and Computer Science Series
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.334-348
  • Anahtar Kelimeler: Caputo derivative, Caputo-Fabrizio derivative, Sumudu homotopy analysis method, fractional model of Fokker-Planck equations, NUMERICAL-SOLUTION
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This research focus on the determination of the numerical solution for the mathematical model of Fokker-Planck equations utilizing a new method, in which Sumudu transformation and homotopy analysis method (SHAM) are used together. By SHAM analytical series solution of any mathematical model including fractional derivative can be obtained. By this method, we constructed the solution of fractional Fokker-Planck equations in Caputo and Caputo-Fabrizio senses. The results show that this method is advantageous and applicable to form the series resolution of the fractional mathematical models.