Generalized fractional operators for nonstandard Lagrangians

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...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2015-06, Vol.38 (9), p.1808-1812
Hauptverfasser:	Taverna, Giorgio S., Torres, Delfim F.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Dissipation dissipative systems Equations of motion Euler-Lagrange and Hamilton equations generalized fractional calculus of variations generalized fractional operators Kernels Mathematical analysis nonstandard Lagrangians Operators
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