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Fractional Variational Calculus of Variable Order

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Advances in Harmonic Analysis and Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 229))

Abstract

We study the fundamental problem of the calculus of variations with variable order fractional operators. Fractional integrals are considered in the sense of Riemann–Liouville while derivatives are of Caputo type.

Mathematics Subject Classification (2010). 26A33; 34A08; 49K05.

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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, P-3810-193, Aveiro, Portugal

    T. Odzijewicz & D. F. M. Torres

  2. Faculty of Computer Science, Białystok University of Technology, PL-15-351, Białystok, Poland

    A. B. Malinowska

Authors
  1. T. Odzijewicz
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  2. A. B. Malinowska
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  3. D. F. M. Torres
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Corresponding author

Correspondence to T. Odzijewicz .

Editor information

Editors and Affiliations

  1. , Departamento de Matemática, Universidade de Aveiro, Campus Universitário de Santiago, Aveiro, 3810-193, Portugal

    Alexandre Almeida

  2. , Departamento de Matemática, Universidade de Aveiro, Campus Universitário de Santiago, Aveiro, 3810-193, Portugal

    Luís Castro

  3. Instituto Superior Tecnico, Depto. Matematica, Universidade Tecnica Lisboa, Av. Rovisco Pais 1, Lisboa, 1049-001, Portugal

    Frank-Olme Speck

Additional information

To Professor Stefan Samko on the occasion of his 70th birthday

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Odzijewicz, T., Malinowska, A.B., Torres, D.F.M. (2013). Fractional Variational Calculus of Variable Order. In: Almeida, A., Castro, L., Speck, FO. (eds) Advances in Harmonic Analysis and Operator Theory. Operator Theory: Advances and Applications, vol 229. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0516-2_16

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