Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations

Abdulnasir, Isah and Chang, Phang and Piau, Phang (2017) Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations. International Journal of Differential Equations, 2017. ISSN 1752-3591

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Official URL: https://www.hindawi.com/journals/ijde/2017/2097317...

Abstract

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 operationalmatrix which we used together with the Genocchi operationalmatrix 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.

Item Type: Article
Uncontrolled Keywords: Collocation Method, Genocchi Operational Matrix, mathematical tool, unimas, university, universiti, Borneo, Malaysia, Sarawak, Kuching, Samarahan, ipta, education, research, Universiti Malaysia Sarawak
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Academic Faculties, Institutes and Centres > Faculty of Computer Science and Information Technology
Depositing User: Karen Kornalius
Date Deposited: 10 Aug 2017 06:55
Last Modified: 05 Sep 2017 03:19
URI: http://ir.unimas.my/id/eprint/17168

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