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Characterizations of certain Hankel transform involving Riemann–Liouville fractional derivatives

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Abstract

In this paper, the relation between two dimensional fractional Fourier transform and fractional Hankel transform is discussed in terms of radial functions. Various operational properties of Hankel transform and fractional Hankel transform are studied involving Riemann–Liouville fractional derivatives. The application of fractional Hankel transform is given in networks with time varying parameters.

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Acknowledgements

The authors express their gratefulness to the reviewers for their constructive criticism and many good suggestions for the improvement in the manuscript.

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Authors and Affiliations

  1. Department of Mathematical Sciences, IIT BHU, Varanasi, 221005, India

    S. K. Upadhyay

  2. DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, BHU, Varanasi, 221005, India

    Komal Khatterwani

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  1. S. K. Upadhyay
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  2. Komal Khatterwani
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Correspondence to S. K. Upadhyay.

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Communicated by José Tenreiro Machado.

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Upadhyay, S.K., Khatterwani, K. Characterizations of certain Hankel transform involving Riemann–Liouville fractional derivatives. Comp. Appl. Math. 38, 24 (2019). https://doi.org/10.1007/s40314-019-0791-y

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  • DOI: https://doi.org/10.1007/s40314-019-0791-y

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