About fractional quantization and fractional variational principles

✍ Scribed by Dumitru Baleanu

• Book ID: 104012407
• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 155 KB
• Volume: 14
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2008.10.002

✦ Synopsis

In this paper, a new method of finding the fractional Euler-Lagrange equations within Caputo derivative is proposed by making use of the fractional generalization of the classical Faá di Bruno formula. The fractional Euler-Lagrange and the fractional Hamilton equations are obtained within the 1 + 1 field formalism. One illustrative example is analyzed.