New approach for the Fornberg-Whitham type equations

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• 作者：Bariza Boutarfa^a ; ^{b.ellagoune@yahoo.fr" class="auth_mail" title="E-mail the corresponding author} ; Ali Akgü ; l^b ; ^{aliakgul00727@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Mustafa Inc^c ; ^{minc@firat.edu.tr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：47B32 ; 46E22 ; 74S30
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：312
• 期：Complete
• 页码：13-26
• 全文大小：943 K

文摘

This paper applies the reproducing kernel Hilbert space method to the solutions of three types of Fornberg–Whitham equations: original, modified and time fractional. Comparison with Adomian decomposition method, homotopy analysis method and the variational iteration method shows the validity and applicability of the technique.