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Research Articles

The continuous fractional Bessel wavelet transform and its applications

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Pages 403-420 | Received 15 Feb 2022, Accepted 31 Dec 2022, Published online: 11 Jan 2023

References

  • Luchko YF, Martinez M, Trujillo JJ. Fractional fourier transform and some of its applications. Fract Calc Appl Anal. 2008;11:1–14.
  • Kilbas AA, Luchko YF, Martinez M, et al. Fractional fourier transform in the framework of fractional calculus operators. Integral Transforms Spec Funct. 2010;21(10):779–795.
  • Upadhyay SK, Khatterwani K. Characterizations of certain transform involving Riemann-Liouville fractional derivatives. Comput Appl Math. 2019;38(24):1–25.
  • Srivastava HM, Khatterwani K, Upadhyay SK. A certain family of fractional wavelet transformations. Math Meth Appl Sci. 2019;42(1):1–20.
  • Haimo DT. Integral equation associated with Hankel convolution. Trans Amer Math Soc. 1965;116:330–375.
  • Hirschman Jr II. Variation diminishing Hankel transforms. J Anal Math. 1960–1961;8(1):307–336.
  • Cholewinski FM. A Hankel convolution complex inversion theory. Mem Amer Math Soc. 1965;58:1–67.
  • Pathak RS, Dixit MM. Continuous and discrete Bessel wavelet transform. J Comput Appl Math. 2003;160:241–250.
  • Srivastava HM, Mishra KK, Upadhyay SK. Characterizations of continuous fractional Bessel wavelet transforms. Mathematics. 2022;10(3084):1–11.
  • Sneddon IN. Fourier transforms. North Chelmsford: Courier Corporation; 1995.
  • Boggess A, Narcowich FJ. A first course in wavelets with Fourier analysis. Hoboken (NJ): Wiley; 2009.
  • Upadhyay SK, Singh R. Linear time-invariant filter associated with Bessel wavelet transform. J Anal. 2018;26(2):323–332.

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