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On Fractional Derivatives and Primitives of Periodic Functions

Author

Listed:
  • I. Area
  • J. Losada
  • J. J. Nieto

Abstract

We prove that the fractional derivative or the fractional primitive of a -periodic function cannot be a -periodic function, for any period , with the exception of the zero function.

Suggested Citation

  • I. Area & J. Losada & J. J. Nieto, 2014. "On Fractional Derivatives and Primitives of Periodic Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, August.
    • Handle: RePEc:hin:jnlaaa:392598
    DOI: 10.1155/2014/392598
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    Cited by:

    1. Marius-F. Danca & Michal Fečkan & Nikolay Kuznetsov & Guanrong Chen, 2021. "Coupled Discrete Fractional-Order Logistic Maps," Mathematics, MDPI, vol. 9(18), pages 1-14, September.
    2. Jia Mu & Yong Zhou & Li Peng, 2017. "Periodic Solutions and -Asymptotically Periodic Solutions to Fractional Evolution Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-12, April.
    3. Teodor M. Atanackovic & Diana Dolicanin Djekic & Ersin Gilic & Enes Kacapor, 2023. "On a Generalized Wave Equation with Fractional Dissipation in Non-Local Elasticity," Mathematics, MDPI, vol. 11(18), pages 1-13, September.

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