International Journal of Differential Equations

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

Abdulnasir Isah, Chang Phang, and Piau Phang

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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 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.

Article information

Source
Int. J. Differ. Equ., Volume 2017 (2017), Article ID 2097317, 10 pages.

Dates
Received: 2 January 2017
Revised: 16 March 2017
Accepted: 16 May 2017
First available in Project Euclid: 19 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1500429717

Digital Object Identifier
doi:10.1155/2017/2097317

Mathematical Reviews number (MathSciNet)
MR3666267

Zentralblatt MATH identifier
06915928

Citation

Isah, Abdulnasir; Phang, Chang; Phang, Piau. Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations. Int. J. Differ. Equ. 2017 (2017), Article ID 2097317, 10 pages. doi:10.1155/2017/2097317. https://projecteuclid.org/euclid.ijde/1500429717


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