Fractional-order generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus infection

Thieu N. Vo; Mohsen Razzaghi; Phan Thanh Toan

doi:10.1007/s00500-021-06436-3

Fractional-order generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus infection

Thieu N. Vo, Mohsen Razzaghi, Phan Thanh Toan

Department of Computer Science

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

11 Citations (SciVal)

Abstract

We give a novel method to solve systems of nonlinear fractional differential equations (NFDEs). We first introduce a new class of basis functions called fractional-order generalized Taylor wavelets. The Riemann–Liouville fractional integral operator, of the fractional-order generalized Taylor wavelets, is determined. An exact formula for this operator will be obtained by using the regularized beta function. By applying this exact formula we reduce the given system of NFDEs to a system of algebraic equations. The method is applied to the fractional models in human respiratory syncytial virus infection. We also give numerical examples to show the effectiveness and high accuracy of the present method.

Original language	English
Pages (from-to)	165-173
Number of pages	9
Journal	Soft Computing
Volume	26
Issue number	1
Early online date	1 Nov 2021
DOIs	https://doi.org/10.1007/s00500-021-06436-3
Publication status	Published - 31 Jan 2022

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

Acknowledgements

The authors wish to express their sincere thanks to the anonymous referee for valuable suggestions that improved the final version of the manuscript.

Keywords

Fractional-order
Generalized Taylor wavelet
Regularized beta function
Respiratory syncytial virus infection

ASJC Scopus subject areas

Theoretical Computer Science
Software
Geometry and Topology

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10.1007/s00500-021-06436-3

Cite this

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AU - Razzaghi, Mohsen

AU - Toan, Phan Thanh

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AB - We give a novel method to solve systems of nonlinear fractional differential equations (NFDEs). We first introduce a new class of basis functions called fractional-order generalized Taylor wavelets. The Riemann–Liouville fractional integral operator, of the fractional-order generalized Taylor wavelets, is determined. An exact formula for this operator will be obtained by using the regularized beta function. By applying this exact formula we reduce the given system of NFDEs to a system of algebraic equations. The method is applied to the fractional models in human respiratory syncytial virus infection. We also give numerical examples to show the effectiveness and high accuracy of the present method.

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KW - Regularized beta function

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Fractional-order generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus infection

Abstract

Bibliographical note

Acknowledgements

Keywords

ASJC Scopus subject areas

Access to Document

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