Fractional variational principles started to be one of the major area in the field of fractional calculus. During the last few years the fractional variational principles were developed within several fractional derivatives. One of them is the Hilfer’s generalized fractional derivative which interpolates between Riemann-Liouville and Caputo fractional derivatives. In this paper the fractional Euler-Lagrange equations of the Lagrangians with linear velocities are obtained within the Hilfer fractional derivative.
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Lagrangians With Linear Velocities Within Hilfer Fractional Derivative
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Baleanu, D, Agrawal, OP, & Muslih, SI. "Lagrangians With Linear Velocities Within Hilfer Fractional Derivative." Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B. Washington, DC, USA. August 28–31, 2011. pp. 335-338. ASME. https://doi.org/10.1115/DETC2011-47953
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