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Standard Methods in Fractional Variational Calculus

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Advanced Methods in the Fractional Calculus of Variations

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Abstract

We investigate the problem of finding an admissible function giving a minimum value to an integral functional that depends on an unknown function (or functions) of one or several variables and its generalized fractional derivatives and/or generalized fractional integrals. The appropriate Euler–Lagrange equations and natural boundary conditions are obtained. Moreover, Noether-type theorems (without transformation of time) are presented.

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Author information

Authors and Affiliations

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

    Agnieszka B. Malinowska

  2. Department of Mathematics and Mathematical Economics, Warsaw School of Economics, Warsaw, Poland

    Tatiana Odzijewicz

  3. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Delfim F. M. Torres

Authors
  1. Agnieszka B. Malinowska
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  2. Tatiana Odzijewicz
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  3. Delfim F. M. Torres
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Corresponding author

Correspondence to Agnieszka B. Malinowska .

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Malinowska, A.B., Odzijewicz, T., Torres, D.F.M. (2015). Standard Methods in Fractional Variational Calculus. In: Advanced Methods in the Fractional Calculus of Variations. SpringerBriefs in Applied Sciences and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-14756-7_4

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