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Differintegarator Based on Fractional Calculus of Convex Functions

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Book cover Non-Integer Order Calculus and its Applications (RRNR 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 496))

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Abstract

The paper presents an idea of system determining in one circuit derivative and integral of input signal based on fractional calculus of convex functions. The input signal of the system includes numerical values, sampling time and order of differintegrals where the sign of an order determines the working of the system as integrator or differentiator. The presented invention pertains generally to the field of integration and differentiation of digital signals using fractional calculus and more particularly to digital signal processing.

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References

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  6. Cioć, R.: Physical and geometrical interpretation of Grünwald-Letnikov differintegrals: measurement of path and acceleration. In: Fractional Calculus & Applied Analysis, Diogenes Co., Sofia, vol. 19(1), pp. 161-172 (2016). https://doi.org/10.1515/fca-2016-0009

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Correspondence to Radosław Cioć .

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Cioć, R. (2019). Differintegarator Based on Fractional Calculus of Convex Functions. In: Ostalczyk, P., Sankowski, D., Nowakowski, J. (eds) Non-Integer Order Calculus and its Applications. RRNR 2017. Lecture Notes in Electrical Engineering, vol 496. Springer, Cham. https://doi.org/10.1007/978-3-319-78458-8_3

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  • DOI: https://doi.org/10.1007/978-3-319-78458-8_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-78457-1

  • Online ISBN: 978-3-319-78458-8

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