Characterizations of certain Hankel transform involving Riemann–Liouville fractional derivatives
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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.
KeywordsHankel transform Fractional Hankel transform Schwartz space Fractional derivatives and integrals Lizorkin space Operational relations
Mathematics Subject Classification26A33 42A50 42A38 46F05 46F12
The authors express their gratefulness to the reviewers for their constructive criticism and many good suggestions for the improvement in the manuscript.
- Luke YL (1969) The special functions and their approximations, vol I. Academic Press, Cambridge, pp 211–212Google Scholar
- Yang XJ, Machado JT, Baleanu D (2017) Anomalous diffusion models with general fractional derivatives within the kernels of the extended Mittag-Leffler type functions. Rom Rep Phys 69(4):115Google Scholar