Fractional variational principles with delay within caputo derivatives

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• 作者：Fahd Jarad ; Thabet Abdeljawad (Maraaba) ; Dumitru Baleanu
• 关键词：fractional variational principles ; fractional derivatives ; delay
• 刊名：Reports on Mathematical Physics
• 出版年：2010
• 出版时间：January 2010
• 年：2010
• 卷：65
• 期：1
• 页码：17-28
• 全文大小：560 K

文摘

In this paper we investigate the fractional variational principles within Caputo derivatives in the presence of delay derivatives. The corresponding Euler-Lagrange equations are obtained for the case of one dependent variable. A generalization to n dependent variables is obtained. Physical example is analyzed in detail.