B-spline operational matrix of fractional integration

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• 作者：Tahereh Ismaeelpour^a ; Ataollah Askari Hemmat^b ; ; Habibollah Saeedi^b
• 关键词：B-spline ; Wavelet ; Fractional integro-differential equation ; Partial differential equation ; Operational matrix of integration
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：130
• 期：Complete
• 页码：291-305
• 全文大小：711 K
• 卷排序：130

文摘

In this paper, we use the second and third order spline functions to derive the operational matrix of fractional integration, which we then apply to solve fractional integro-differential equations, Abel equations and partial fractional differential equations. We also present a method based on the dual functions of B-spline functions to solve fractional equations. This method results in an algebraic system that we can solve easily. Finally, we present illustrative examples to demonstrate the applicability of our method and compare it with other known ones.