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

Panupong Vichitkunakorn; Thieu N. Vo; Mohsen Razzaghi

doi:10.1177/0142331219890171

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

Panupong Vichitkunakorn, Thieu N. Vo, Mohsen Razzaghi

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

34 Citations (SciVal)

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.

Original language	English
Pages (from-to)	1334-1344
Number of pages	11
Journal	Transactions of the Institute of Measurement and Control
Volume	42
Issue number	7
DOIs	https://doi.org/10.1177/0142331219890171
Publication status	Published - 30 Apr 2020

Keywords

fractional integral
fractional pantograph differential equation
numerical solution
Taylor wavelet

ASJC Scopus subject areas

Instrumentation

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10.1177/0142331219890171

Cite this

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KW - numerical solution

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

Abstract

Keywords

ASJC Scopus subject areas

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