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On the Fractional Hamilton and Lagrange Mechanics

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Abstract

The fractional generalization of Hamiltonian mechanics is constructed by using the Lagrangian involving fractional derivatives. In this paper the equation of projectile motion with air friction using fractional Hamiltonian mechanics and equation for current loop involving electric source, a resistor, an inductor and a capacitor has been obtained. Furthermore, fractional optics has been introduced.

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Correspondence to Dumitru Baleanu.

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Golmankhaneh, A.K., Yengejeh, A.M. & Baleanu, D. On the Fractional Hamilton and Lagrange Mechanics. Int J Theor Phys 51, 2909–2916 (2012). https://doi.org/10.1007/s10773-012-1169-8

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  • DOI: https://doi.org/10.1007/s10773-012-1169-8

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