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Riesz Potentials as Centred Derivatives

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Advances in Fractional Calculus
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Generalised fractional centred differences and derivatives are studied in this chapter. Keywords Fractional centred difference, fractional centred derivative, Grünwald–Letnikov derivative, generalised Cauchy derivative.

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References

  1. Ortigueira, MD, (2005) Fractional Differences Integral Representation and its Use to Define Fractional Derivatives, In: Proceedings of the ENOC-2005, Fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven University of Technology, The Netherlands, August, 7-12.

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Ortigueira, M.D. (2007). Riesz Potentials as Centred Derivatives. In: Sabatier, J., Agrawal, O.P., Machado, J.A.T. (eds) Advances in Fractional Calculus. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6042-7_7

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  • DOI: https://doi.org/10.1007/978-1-4020-6042-7_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6041-0

  • Online ISBN: 978-1-4020-6042-7

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