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arxiv: 1404.6483 · v1 · pith:YH2VYCRRnew · submitted 2014-04-25 · 🧮 math-ph · math.MP· math.OC

Generalized fractional operators for nonstandard Lagrangians

classification 🧮 math-ph math.MPmath.OC
keywords generalizedanalyzedfractionallagrangiansmotionnonstandardoperatorsapplication
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In this note we study the application of generalized fractional operators to a particular class of nonstandard Lagrangians. These are typical of dissipative systems and the corresponding Euler-Lagrange and Hamilton equations are analyzed. The dependence of the equation of motion on the generalized kernel permits to obtain a wide range of different configurations of motion. Some examples are discussed and analyzed.

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