On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion

Iyiola O., TAŞBOZAN O., Kurt A., Çenesiz Y.

Chaos, Solitons and Fractals, vol.94, pp.1-7, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 94
  • Publication Date: 2017
  • Doi Number: 10.1016/j.chaos.2016.11.003
  • Journal Name: Chaos, Solitons and Fractals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-7
  • Keywords: Conformable fractional derivative, Diffusion, Q-homotopy analysis method, System of Robertson equations
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper, we consider the system of conformable time-fractional Robertson equations with one-dimensional diffusion having widely varying diffusion coefficients. Due to the mismatched nature of the initial and boundary conditions associated with Robertson equation, there are spurious oscillations appearing in many computational algorithms. Our goal is to obtain an approximate solutions of this system of equations using the q-homotopy analysis method (q-HAM) and examine the widely varying diffusion coefficients and the fractional order of the derivative.