Open Access

ARTICLE

Solving the Nonlinear Variable Order Fractional Differential Equations by Using Euler Wavelets

Yanxin Wang^{1, *}, Li Zhu¹, Zhi Wang¹
1 School of Science, Ningbo University of Technology, Ningbo, China.
* Corresponding Author: Yanxin Wang. E-mail: .

Computer Modeling in Engineering & Sciences 2019, 118(2), 339-350. https://doi.org/10.31614/cmes.2019.04575

Abstract

An Euler wavelets method is proposed to solve a class of nonlinear variable order fractional differential equations in this paper. The properties of Euler wavelets and their operational matrix together with a family of piecewise functions are first presented. Then they are utilized to reduce the problem to the solution of a nonlinear system of algebraic equations. And the convergence of the Euler wavelets basis is given. The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy.

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Keywords

Euler wavelets, variable order fractional differential equations, caputo fractional derivatives, operational matrix, convergence analysis.

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