Formulation of Euler-Lagrange equations for fractional variational problems (Q1849198)
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scientific article; zbMATH DE number 1836795
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formulation of Euler-Lagrange equations for fractional variational problems |
scientific article; zbMATH DE number 1836795 |
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Formulation of Euler-Lagrange equations for fractional variational problems (English)
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28 November 2002
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The author gives an analogue of the Euler equation for the variational problem for the functional \(J[y]= \int_a^b F(x,y,y^{(\alpha)}_+, y^{(\beta)}_-)\; dx\) where \(y^{(\alpha)}_+\) and \( y^{(\beta)}_-\) stand, respectively, for the left-hand sided and right-hand sided fractional derivatives.
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fractional derivative
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fractional variational problems
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