Numerical Solutions of Fractional Burgers’ Type Equations with Conformable Derivative

Senol M., TAŞBOZAN O., Kurt A.

Chinese Journal of Physics, cilt.58, ss.75-84, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.cjph.2019.01.001
  • Dergi Adı: Chinese Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.75-84
  • Anahtar Kelimeler: Burgers’ Type Equations, Conformable Fractional Derivative, Numerical Solutions, Residual Power Series Method
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In this article, we introduce the residual power series method (RPSM) for finding approximate solutions of the time-fractional Burgers type equations using the conformable fractional derivative definition. This definition is simple and effective in the solution procedure of the fractional differential equations that have complicated solutions with classical fractional derivative definitions like Caputo and Riemann-Liouville. The results indicate the proposed method gives significant and reliable solutions.