Formulation of Euler–Lagrange equations for fractional variational problems
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Cites background from "Formulation of Euler–Lagrange equat..."
...Agrawal [31] extends variational calculus to fractional variational problems....
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Cites background or methods from "Formulation of Euler–Lagrange equat..."
...In Agrawal (2002), Agrawal presented fractional Euler–Lagrange equations for Fractional Variational Problems (FVPs)....
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...For simplicity in the discussion to follow, we briefly review the Fractional Euler–Lagrange Equation (FELE) presented in Agrawal (2002)....
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...It is demonstrated in Agrawal (2002) that the solution of the above problem must satisfy F y t D b F a D t y 0 (4) where t D b y is the Right Riemann–Liouville Fractional Derivative (RRLFD) of order defined as t D b y t 1 n d dt n b t t n 1 y d (5) Equation (5) will play an important role in the…...
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References
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