New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials

Isah, Abdulnasir and Phang, Chang (2019) New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials. Journal of King Saud University – Science, 31 (1). pp. 1-7. ISSN 1018-3647

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Abstract

In this research, new operational method based on Genocchi polynomials for numerical solutions of nonlinear fractional differential equations (NFDEs) is proposed. The Genocchi operational matrix of fractional derivative is first constructed by using some important properties of Genocchi polynomials. These operational matrices together with the collocation method are used to reduce the NFDEs into a system of nonlinear algebraic equations. The error bound for this proposed method is shown. Some examples are given to display the simplicity and accuracy of the proposed technique.

Item Type:	Article
Uncontrolled Keywords:	Genocchi polynomials; Operational matrix of fractional derivatives; Fractional differential equations; Collocation points
Subjects:	T Technology > T Technology (General) > T55.4-60.8 Industrial engineering. Management engineering > T57-57.97 Applied mathematics. Quantitative methods
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	UiTM Student Praktikal
Date Deposited:	24 Jan 2022 08:27
Last Modified:	24 Jan 2022 08:27
URI:	http://eprints.uthm.edu.my/id/eprint/5902

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