A numerical method for fractional pantograph differential equations based on Taylor wavelets-Reference-Cited by-同舟云学术

A numerical method for fractional pantograph differential equations based on Taylor wavelets

Published:2019-12-18 Issue:7 Volume:42 Page:1334-1344
ISSN:0142-3312
Container-title:Transactions of the Institute of Measurement and Control
language:en
Short-container-title:Transactions of the Institute of Measurement and Control

Author:

Vichitkunakorn Panupong¹,Vo Thieu N²^ORCID,Razzaghi Mohsen³

Affiliation:

1. Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Thailand

2. Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Vietnam

3. Department of Mathematics and Statistics, Mississippi State University, USA

Abstract

We present an efficient numerical method for solving fractional pantograph differential equations by applying Taylor wavelets. We give an exact formula for the Riemann-Liouville fractional integral of the Taylor wavelets. We then apply the given formula to reduce our problem to the problem of solving a system of algebraic equations. Several examples are included to show the the effectiveness of our numerical method and in comparison with previous methods.

Publisher

SAGE Publications

Subject

Instrumentation

Link

http://journals.sagepub.com/doi/pdf/10.1177/0142331219890171

Reference51 articles.

1. Solving systems of fractional differential equations by homotopy-perturbation method

2. Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay

3. Numerical Approach for Solving Fractional Pantograph Equation

4. Long memory processes and fractional integration in econometrics

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