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...
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2017
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| 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 |
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| author | Abdulnasir, Isah Chang, Phang Piau, Phang |
| author_facet | Abdulnasir, Isah Chang, Phang Piau, Phang |
| author_sort | Abdulnasir, Isah |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T06:52:12Z |
| format | Article |
| id | unimas-17168 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T06:52:12Z |
| publishDate | 2017 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-171682022-09-29T03:06:26Z http://ir.unimas.my/id/eprint/17168/ Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations Abdulnasir, Isah Chang, Phang Piau, Phang QA75 Electronic computers. Computer science 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. Hindawi Publishing Corporation 2017 Article PeerReviewed text en http://ir.unimas.my/id/eprint/17168/1/Collocation%20Method%20Based%20on%20Genocchi%20Operational%20Matrix%20%28abstract%29.pdf 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 https://www.hindawi.com/journals/ijde/2017/2097317/abs/ doi : 10.1155/2017/2097317 |
| spellingShingle | QA75 Electronic computers. Computer science Abdulnasir, Isah Chang, Phang Piau, Phang Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations |
| title | Collocation Method Based on Genocchi Operational Matrix for
Solving Generalized Fractional Pantograph Equations |
| title_full | Collocation Method Based on Genocchi Operational Matrix for
Solving Generalized Fractional Pantograph Equations |
| title_fullStr | Collocation Method Based on Genocchi Operational Matrix for
Solving Generalized Fractional Pantograph Equations |
| title_full_unstemmed | Collocation Method Based on Genocchi Operational Matrix for
Solving Generalized Fractional Pantograph Equations |
| title_short | Collocation Method Based on Genocchi Operational Matrix for
Solving Generalized Fractional Pantograph Equations |
| title_sort | collocation method based on genocchi operational matrix for
solving generalized fractional pantograph equations |
| topic | QA75 Electronic computers. Computer science |
| url | http://ir.unimas.my/id/eprint/17168/ http://ir.unimas.my/id/eprint/17168/ 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 |