Fractional hamilton formalism within caputo’s derivative

By Dumitru Băleanu, Om Prakash Agrawal. 2006

194 citations recorded by the source corpus.

In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are given, and a set of fractional Hamiltonian equations are obtained. Using an example, it is shown that the canonical fractional Hamiltonian and the fractional Euler-Lagrange formulations lead to the same set of equations.

Subfields: Applied Mathematics, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e286b0e84bb83fd464464188e52e43541fcded77

How researchers see this paper

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In Applied Mathematics

1. Agnieszka B. Malinowska
2. Delfim F. M. Torres
3. Rui A. C. Ferreira
4. Loïc Bourdin
5. Ricardo Almeida
6. Gastão S. F. Frederico

In Modeling and Simulation

1. Delfim F. M. Torres
2. Agnieszka B. Malinowska
3. Loïc Bourdin
4. G. M. Bahaa
5. Ricardo Almeida
6. Rui A. C. Ferreira
7. Dumitru Băleanu
8. Amar Debbouche

In Statistical and Nonlinear Physics

1. Delfim F. M. Torres
2. Agnieszka B. Malinowska
3. G. M. Bahaa
4. Amar Debbouche

Citations in the corpus

• Fractional calculus of variations for a combined Caputo derivative (2011, background): “, [2, 10, 28]), the symmetric fractional derivative (see, e.”