A new fractional analytical approach via a modified Riemann-Liouville derivative

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• 作者：Yasir Khan ; Qingbiao Wu ; Naeem Faraz ; A. Yildirim ; M. Madani
• 关键词：Fractional homotopy perturbation method ; Modified Riemann&ndash ; Liouville fractional derivatives ; Mittag-Leffler function
• 刊名：Applied Mathematics Letters
• 出版年：2012
• 出版时间：October, 2012
• 年：2012
• 卷：25
• 期：10
• 页码：1340-1346
• 全文大小：295 K

文摘

This work suggests a new analytical technique called the fractional homotopy perturbation method (FHPM) for solving fractional differential equations of any fractional order. This method is based on He¡¯s homotopy perturbation method and the modified Riemann-Liouville derivative. The fractional differential equations are described in Jumarie¡¯s sense. The results from introducing a modified Riemann-Liouville derivative in the cases studied show the high accuracy, simplicity and efficiency of the approach.