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Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations

Isah, Abdulnasir and Phang, Chang and Phang, Piau (2017) Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations. International Journal of Differential Equations, 2017. pp. 1-10. ISSN 16879651

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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
Subjects: Q Science > QA Mathematics > QA297 Numerical analysis. Analysis
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Mr. Mohammad Shaifulrip Ithnin
Date Deposited: 11 Oct 2018 03:39
Last Modified: 11 Oct 2018 03:39
URI: http://eprints.uthm.edu.my/id/eprint/10465
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