Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2017
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| Subjects: | |
| Online Access: | http://ir.unimas.my/id/eprint/17168/ http://ir.unimas.my/id/eprint/17168/1/Collocation%20Method%20Based%20on%20Genocchi%20Operational%20Matrix%20%28abstract%29.pdf |
| Summary: | 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. |
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