Fractional actionlike variational problems
By Rami Ahmad El-Nabulsi, Delfim F. M. Torres. 2008
193 citations recorded by the source corpus.
Fractional actionlike variational problems have recently gained importance in studying dynamics of nonconservative systems. In this note we address multidimensional fractional actionlike problems of the calculus of variations.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/26b240cc06bc78a9afab98a77ec36c61b822f931
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In Applied Mathematics
- Delfim F. M. Torres
- Dumitru Băleanu
- Ricardo Almeida
- Agnieszka B. Malinowska
- Rui A. C. Ferreira
- Ozlem Defterli
- Om Prakash Agrawal
- Gianluca Calcagni
In Computational Theory and Mathematics
- Rui A. C. Ferreira
- Dumitru Băleanu
- Om Prakash Agrawal
- Agnieszka B. Malinowska
- Delfim F. M. Torres
- Ozlem Defterli
- Gianluca Calcagni
- Ricardo Almeida
In Modeling and Simulation
- Delfim F. M. Torres
- Dumitru Băleanu
- Ricardo Almeida
- Agnieszka B. Malinowska
- Rui A. C. Ferreira
- Ozlem Defterli
- Om Prakash Agrawal
- Thabet Abdeljawad
Citations in the corpus
- A fractional calculus of variations for multiple integrals with application to vibrating string (2010, background): “For applications of the fractional calculus of variations we refer the reader to [16, 17, 20, 27, 32, 36, 37, 40].”
- FRACTIONAL h-DIFFERENCE EQUATIONS ARISING FROM THE CALCULUS OF VARIATIONS (2011, background): “Several definitions of fractional derivatives, including Riemann–Liouville, Caputo, Riesz, Riesz-Caputo, Weyl, Grunwald–Letnikov, Hadamard, and Chen derivatives, are available in the literature [2, 14, 17, 26].”
- Fractional Optimal Control Problems with Several State and Control Variables (2010, methodology): “The technique presented here can be applied to optimal control problems defined using other types of fractional derivatives, e.g., Caputo, Riesz, Cresson (see, e.g., Cresson (2007)) and to fractional action-like variational formulations (see El-Nabulsi and Torres (2008)).”
- Fractional calculus of variations for a combined Caputo derivative (2011, background): “, [1, 5, 8, 12, 17, 19]), the Caputo fractional derivative (see, e.”
- Quantum field theory, gravity and cosmology in a fractal universe (2010, background): “(absolutely continuous) Stieltjes measure have been discussed in [65, 66, 67] in the one-dimensional case and [68, 69, 70] in many dimensions.”