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An effective method for solving nonlinear fractional differential equations

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Abstract

A new technique based on beta functions is applied to compute the exact formula for the Riemann–Liouville fractional integral of the fractional-order generalized Chelyshkov wavelets. An approximation method based on the wavelets is proposed to effectively solve nonlinear fractional differential equations. Illustrative examples show that the proposed method gives solutions with less errors in comparison with the previous methods.

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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 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

    Hoa T. B. Ngo & Thieu N. Vo

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

    Mohsen Razzaghi

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  1. Hoa T. B. Ngo
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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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Ngo, H.T.B., Vo, T.N. & Razzaghi, M. An effective method for solving nonlinear fractional differential equations. Engineering with Computers 38 (Suppl 1), 207–218 (2022). https://doi.org/10.1007/s00366-020-01143-3

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