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Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives

Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives

Rabei, Eqab M.; Rawashdeh, Ibrahim M.; Muslih, Sami I.; Baleanu, Dumitru
Bağlantı: http://hdl.handle.net/20.500.12416/1144
Tarih: 2011-05

Özet:

The paper presents fractional Hamilton-Jacobi formulations for systems containing Riesz fractional derivatives (RFD's). The Hamilton-Jacobi equations of motion are obtained. An illustrative example for simple harmonic oscillator (SHO) has been discussed. It was observed that the classical results are recovered for integer order derivatives

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