![](/images/graphics-bg.png)
Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations
Joint Authors
Isah, Abdulnasir
Phang, Piau
Phang, Chang
Source
International Journal of Differential Equations
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Isah, Abdulnasir& Phang, Chang& Phang, Piau. 2017. Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1165823
Modern Language Association (MLA)
Isah, Abdulnasir…[et al.]. Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations. International Journal of Differential Equations No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1165823
American Medical Association (AMA)
Isah, Abdulnasir& Phang, Chang& Phang, Piau. Collocation Method Based on Genocchi Operational Matrix for Solving Generalized Fractional Pantograph Equations. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1165823
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1165823