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

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• 作者：O.S. Iyiola ; ^a ; ^{osiyiola@uwm.edu} ; O. Tasbozan^b ; ^{otasbozan@mku.edu.tr} ; A. Kurt^b ; ^{alikurt@mku.edu.tr} ; Y. Ç ; enesiz^c ; ^{ycenesiz@ymail.com}
• 关键词：Diffusion ; System of Robertson equations ; Q-homotopy analysis method ; Conformable fractional derivative
• 刊名：Chaos, Solitons & Fractals
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：94
• 期：Complete
• 页码：1-7
• 全文大小：1563 K
• 卷排序：94

文摘

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.