Fractional Variational Calculus of Variable Order

  • T. Odzijewicz
  • A. B. Malinowska
  • D. F. M. Torres
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 229)


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.


Fractional operators fractional integration and differentiation of variable order fractional variational analysis Euler–Lagrange equations. 


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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • T. Odzijewicz
    • 1
  • A. B. Malinowska
    • 2
  • D. F. M. Torres
    • 1
  1. 1.Center for Research and Development in Mathematics and Applications Department of MathematicsUniversity of AveiroAveiroPortugal
  2. 2.Faculty of Computer ScienceBiałystok University of TechnologyBiałystokPoland

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