Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives

doi:10.1238/Physica.Regular.072a00119

Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives

Dumitru Baleanu et al 2005 Phys. Scr. 72 119-121 doi: 10.1238/Physica.Regular.072a00119

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Dumitru Baleanu^1,4 and Sami I Muslih^2,3
¹ Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, Ankara, 06530, Turkey
² Department of Physics, Al-Azhar University, Gaza, Palestine
³ International Center for Theoretical Physics (ICTP), Trieste, Italy
⁴ On leave of absence from Institute of Space Sciences, P.O. BOX, MG-23, R 76900, Magurele-Bucharest, Romania
E-mail: dumitru@cankaya.edu.tr, baleanu@venus.nipne.ro and smuslih@ictp.trieste.it

Abstract. The classical fields with fractional derivatives are investigated by using the fractional Lagrangian formulation. The fractional Euler-Lagrange equations were obtained and two examples were studied.

PACS numbers: 03.65.Pm, 11.10.Ef

Print publication: Issue 2-3 (2005)
Received 10 December 2004, accepted for publication 8 March 2005

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Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives

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