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Noether’s Second Theorem for Variable Order Fractional Variational Problems

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Advances in Modelling and Control of Non-integer-Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 320))

Abstract

We prove an analog of the second Noether theorem for variable order fractional variational problems. From this theorem, we get identities between Euler–Lagrange expressions and their variable order fractional derivatives.

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Author information

Authors and Affiliations

  1. Faculty of Computer Science, Bialystok University of Technology, 15-351, Białystok, Poland

    Agnieszka B. Malinowska

  2. Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal

    Tatiana Odzijewicz

Authors
  1. Agnieszka B. Malinowska
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  2. Tatiana Odzijewicz
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Editor information

Editors and Affiliations

  1. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Krzysztof J. Latawiec

  2. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Marian Łukaniszyn

  3. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Rafał Stanisławski

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Malinowska, A.B., Odzijewicz, T. (2015). Noether’s Second Theorem for Variable Order Fractional Variational Problems. In: Latawiec, K., Łukaniszyn, M., Stanisławski, R. (eds) Advances in Modelling and Control of Non-integer-Order Systems. Lecture Notes in Electrical Engineering, vol 320. Springer, Cham. https://doi.org/10.1007/978-3-319-09900-2_4

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  • DOI: https://doi.org/10.1007/978-3-319-09900-2_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09899-9

  • Online ISBN: 978-3-319-09900-2

  • eBook Packages: EngineeringEngineering (R0)

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