Genocchi Wavelet-like Operational Matrix and its Application for Solving Non-linear Fractional Differential Equations

Open Physics

Isah Abdulnasir¹  Phang Chang¹ 

[1] Department of Mathematics and Statistics, University Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat Johor, Malaysia;

关键词: genocchi wavelet-like basis;    operational matrix of fractional derivatives;    fractional order system;    collocation points;    02.30.mv;    02.60.-x;   

DOI  :  10.1515/phys-2016-0050

来源: DOAJ

【 摘 要 】

In this work, we propose a new operational method based on a Genocchi wavelet-like basis to obtain the numerical solutions of non-linear fractional order differential equations (NFDEs). To the best of our knowledge this is the first time a Genocchi wavelet-like basis is presented. The Genocchi wavelet-like operational matrix of a fractional derivative is derived through waveletpolynomial transformation. These operational matrices are used together with the collocation method to turn the NFDEs into a system of non-linear algebraic equations. Error estimates are shown and some illustrative examples are given in order to demonstrate the accuracy and simplicity of the proposed technique.

【 授权许可】

Unknown