New exact solutions of the conformable time-fractional Cahn-Allen and Cahn-Hilliard equations using the modified Kudryashov method

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• 作者：K. Hosseini^a ; ^{kamyar_hosseini@yahoo.com} ; A. Bekir^b ; ^{abekir@ogu.edu.tr} ; R. Ansari^c
• 关键词：Cahn&ndash ; Allen and Cahn&ndash ; Hilliard equations ; Conformable time-fractional derivative ; Modified Kudryashov method ; New explicit and exact solutions
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：132
• 期：Complete
• 页码：203-209
• 全文大小：961 K
• 卷排序：132

文摘

Our concern in the present paper is to generate a few new explicit and exact solutions for the time-fractional Cahn–Allen and Cahn–Hilliard equations in the context of the conformable fractional derivative. A new version of Kudryashov method with the help of the Maple package is utilized to carry out this purpose. It is believed that the modified Kudryashov method is practically well suited; such that it can be adopted to a wide range of fractional differential equations (FDEs).