文章基本信息

标题：Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations
本地全文：下载
作者：Abdulnasir Isah ; Chang Phang ; Piau Phang 等
期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2017
卷号：2017
DOI：10.1155/2017/2097317
出版社：Hindawi Publishing Corporation
摘要：An effective collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations with initial and boundary conditions is presented. Using the properties of Genocchi polynomials, we derive a new Genocchi delay operational matrix which we used together with the Genocchi operational matrix of fractional derivative to approach the problems. The error upper bound for the Genocchi operational matrix of fractional derivative is also shown. Collocation method based on these operational matrices is applied to reduce the generalized fractional pantograph equations to a system of algebraic equations. The comparison of the numerical results with some existing methods shows that the present method is an excellent mathematical tool for finding the numerical solutions of generalized fractional pantograph equations.