About Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives
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Date
2005
Authors
Baleanu, Dumitru
Muslih, Sami I.
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Publisher
Amer Soc Mechanical Engineers
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Abstract
sRecently, an extension of the simplest fractional problem and the fractional variational problem of Lagrange was obtained by Agrawal. The first part of this study presents the fractional Lagrangian formulation of mechanical systems and introduce the Levy path integral. The second part is an extension to Agrawal's approach to classical fields with fractional derivatives. The classical fields with fractional derivatives are investigated by using the Lagrangian formulation. The case of the fractional Schrodinger equation is presented.
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Sequential Mechanics, Variational-Problems, Linear Velocities, Quantum-Mechanics, Equations, Systems
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Citation
Baleanu, dumitru; Muslih, Sami I., "About Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives", Proceedings Of The Asme International Design Engineering Technical Conferences And Computers And Information In Engineering Conference, Vol 6, Pts A-C, pp.1457-1464, (2005).
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Source
Proceedings Of The Asme International Design Engineering Technical Conferences And Computers And Information In Engineering Conference, Vol 6, Pts A-C
Volume
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Start Page
1457
End Page
1464