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Citation - WoS: 73
Citation - Scopus: 94
Fractional Electromagnetic Equations Using Fractional Forms
(Springer/plenum Publishers, 2009) Golmankhaneh, Ali Khalili; Golmankhaneh, Alireza Khalili; Baleanu, Mihaela Cristina; Baleanu, Dumitru
The generalized physics laws involving fractional derivatives give new models and conceptions that can be used in complex systems having memory effects. Using the fractional differential forms, the classical electromagnetic equations involving the fractional derivatives have been worked out. The fractional conservation law for the electric charge and the wave equations were derived by using this method. In addition, the fractional vector and scalar potentials and the fractional Poynting theorem have been derived.
Citation - WoS: 24
Citation - Scopus: 33
Fractional Nambu Mechanics
(Springer/plenum Publishers, 2009) Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
The fractional generalization of Nambu mechanics is constructed by using the differential forms and exterior derivatives of fractional orders. The generalized Pfaffian equations are obtained and one example is investigated in details.

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