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Characterizations of Continuous Fractional Bessel Wavelet Transforms

Author

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  • Hari M. Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
    Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy)

  • Kush Kumar Mishra

    (Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University (BHU), Varanasi 221005, Uttar Pradesh, India)

  • Santosh K. Upadhyay

    (Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University (BHU), Varanasi 221005, Uttar Pradesh, India)

Abstract

In this paper, we present a systematic study of the various characteristics and properties of some continuous and discrete fractional Bessel wavelet transforms. The method is based upon the theory of the fractional Hankel transform.

Suggested Citation

  • Hari M. Srivastava & Kush Kumar Mishra & Santosh K. Upadhyay, 2022. "Characterizations of Continuous Fractional Bessel Wavelet Transforms," Mathematics, MDPI, vol. 10(17), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3084-:d:899296
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    References listed on IDEAS

    as
    1. Haniye Dehestani & Yadollah Ordokhani & Mohsen Razzaghi, 2020. "Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(6), pages 1032-1052, April.
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