Approximate Analytical Solutions of Conformable Time Fractional Clannish Random Walker’s Parabolic(CRWP) Equation and Modified Benjamin-Bona-Mahony(BBM) equation

ATILGAN E., TAŞBOZAN O., Kurt A., Mohyud-Din S. T.

Universal Journal of Mathematics and Applications, cilt.3, sa.2, ss.61-68, 2020 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.32323/ujma.636098
  • Dergi Adı: Universal Journal of Mathematics and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.61-68
  • Anahtar Kelimeler: Conformable Derivative, Fractional Clannish Random Walker’s Parabolic(CRWP) Equation, Modified Benjamin-Bona-Mahony(BBM) equation
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In this paper, we propose the approximate analytical solutions of conformable time fractional Clannish Random Walker’s Parabolic(CRWP) equation and Modified Benjamin-Bona-Mahony(BBM) equation with the aid of generalized homotopy analysis method (q-HAM). The h curves of approximate solutions for both equations are illustrated by graphics to deter-mine the convergence interval. h values obtained from these graphics are used to compare approximate solutions with the analytical solutions. The results show that approximate solutions are consistent with the analytical solutions. Also it is understood that the method is reliable, applicable and efficient technique to get the exact solutions of fractional partial differential equations.