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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

  • Foundation, algebraic, and analytical methods in soft computing
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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.

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Acknowledgements

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

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Authors and Affiliations

  1. Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Thieu N. Vo & Phan Thanh Toan

  2. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS, 39762, USA

    Mohsen Razzaghi

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  1. Thieu N. Vo
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  2. Mohsen Razzaghi
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Correspondence to Mohsen Razzaghi.

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Vo, T.N., Razzaghi, M. & Toan, P.T. Fractional-order generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus infection. Soft Comput 26, 165–173 (2022). https://doi.org/10.1007/s00500-021-06436-3

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