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Advances in the Theory and Applications of Non-integer Order Systems pp 133–139Cite as

Variable Order Fractional Isoperimetric Problem of Several Variables

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 257))

Abstract

In this work we study three types of partial variable order fractional operators. Using integration by parts formulas for variable order fractional integrals, we prove necessary optimality condition of Euler–Lagrange type for multi-dimensional isoperimteric problem.

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Author information

Authors and Affiliations

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

    Tatiana Odziehjewicz

Authors
  1. Tatiana Odziehjewicz
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Correspondence to Tatiana Odziehjewicz .

Editor information

Editors and Affiliations

  1. , Dept. of Automatics & Biomedical Eng., AGH University of Science and Technology, Al. Mickiewicza 20, Cracow, 30-059, Poland

    Wojciech Mitkowski

  2. , Systems Research Institute, Polish Academy of Sciences, Ul. Newelska 6, Warsaw, 01-447, Poland

    Janusz Kacprzyk

  3. , Dept. of Automatics & Biomedical Eng., AGH University of Science and Technology, Al. Mickiewicza 30, Cracow, 30-059, Poland

    Jerzy Baranowski

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Odziehjewicz, T. (2013). Variable Order Fractional Isoperimetric Problem of Several Variables. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_11

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  • DOI: https://doi.org/10.1007/978-3-319-00933-9_11

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00932-2

  • Online ISBN: 978-3-319-00933-9

  • eBook Packages: EngineeringEngineering (R0)

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