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Taylor wavelet method for fractional delay differential equations

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Abstract

We present a new numerical method for solving fractional delay differential equations. The method is based on Taylor wavelets. We establish an exact formula to determine the Riemann–Liouville fractional integral of the Taylor wavelets. The exact formula is then applied to reduce the problem of solving a fractional delay differential equation to the problem of solving a system of algebraic equations. Several numerical examples are presented to show the applicability and the effectiveness of this method.

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Acknowledgements

The authors wish to express their sincere thanks to anonymous referees for their valuable suggestions that improved the final 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

    Phan Thanh Toan & Thieu N. Vo

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

    Mohsen Razzaghi

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  1. Phan Thanh Toan
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  2. Thieu N. Vo
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  3. Mohsen Razzaghi
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Correspondence to Mohsen Razzaghi.

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Toan, P.T., Vo, T.N. & Razzaghi, M. Taylor wavelet method for fractional delay differential equations. Engineering with Computers 37, 231–240 (2021). https://doi.org/10.1007/s00366-019-00818-w

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