Abstract
This book was dedicated to the generalized fractional calculus of variations. We extended standard fractional variational calculus (Almeida et al. 2015; Malinowska and Torres 2012), by considering problems with generalized fractional operators, that by choosing special kernels reduce, e.g., to fractional operators of Riemann–Liouville, Caputo, Hadamard, Riesz, or Katugampola types.
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Almeida R, Pooseh S, Torres DFM (2015) Computational methods in the fractional calculus of variations. Imperial College Press, London
Bourdin L, Odzijewicz T, Torres DFM (2013) Existence of minimizers for fractional variational problems containing Caputo derivatives. Adv Dyn Syst Appl 8(1):3–12
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Malinowska, A.B., Odzijewicz, T., Torres, D.F.M. (2015). Conclusion. 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_7
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DOI: https://doi.org/10.1007/978-3-319-14756-7_7
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