On Fractional Solutions of Euler-Lagrange Equations with Second-Order Linear Lagrangians
In this paper, we have investigated the formalism of Lagrangian systems with linear accelerations using fractional calculus. The fractional Euler-Lagrange equations for these systems are analyzed. The solutions of Euler-Lagrange equations are obtained and the recovery of the classical
results is discussed. The Laplace transform of Mittag-Leffler function is used to find the solutions of Euler-Lagrange equations. One example is discussed to demonstrate the formalism.
Keywords: EULER-LAGRANGE EQUATION; FRACTIONAL CALCULUS; LAPLACE TRANSFORM; LINEAR LAGRANGIANS; MITTAG-LEFFLER FUNCTION
Document Type: Research Article
Publication date: 01 March 2018
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