On exact solutions of a class of fractional Euler-Lagrange equations

2007/08/10 by Dumitru Bǎleanu, Juan J. Trujillo, Baleanu, Dumitru +1 · 2 citations
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0708.1433

openalex publication_date 2007/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, first a class of fractional differential equations are obtained by using the fractional variational principles. We find a fractional Lagrangian L(x(t), where _a^cD_t^αx(t)) and 0

Cited by

• The Euler-Lagrange and Legendre Necessary Conditions for Fractional Calculus of Variations
• Isoperimetric Problem and Weierstrass Necessary Condition for Fractional Calculus of Variations

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