Generalized Euler-Lagrange Equations for Variational Problems with Scale Derivatives

Letters in Mathematical Physics

Volumn 92, Issue 3, 2010, Pages 221-229

  Almeida, Ricardo ^a   Torres, Delfim F M ^a  

^a UNIVERSITY OF AVEIRO   (Portugal)

Author keywords

Euler Lagrange equations; Higher order scale derivatives; Non differentiability; Scale calculus

Indexed keywords

EID: 77953021555     PISSN: 03779017     EISSN: 15730530     Source Type: Journal    
DOI: 10.1007/s11005-010-0385-5     Document Type: Article

References (7)

1. Almeida R., Torres D. F. M.: Hölderian variational problems subject to integral constraints. J. Math. Anal. Appl. 359(2), 674-681 (2009).
2. Cresson J.: Scale calculus and the Schrödinger equation. J. Math. Phys. 44(11), 4907-4938 (2003).
3. Cresson J.: Non-differentiable variational principles. J. Math. Anal. Appl. 307(1), 48-64 (2005).
4. n. Int. J. Geom. Methods Modern Phys. 3(7), 1395-1415 (2006).
5. Cresson J., Frederico G. S. F., Torres D. F. M.: Constants of motion for non-differentiable quantum variational problems. Topol. Methods Nonlinear Anal. 33(2), 217-232 (2009).
6. Nottale L.: The theory of scale relativity. Int. J. Modern Phys. A 7(20), 4899-4936 (1992).
7. Nottale L.: The scale-relativity program. Chaos Solitons Fractals 10(2-3), 459-468 (1999).