Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1684

 Title: Hamilton’s Principle with Variable Order Fractional Derivatives Authors: Atanackovic, TeodorPilipovic, Stevan Keywords: Variable Order Fractional DerivativeVariational Principle of Hamilton’s Type Issue Date: 2011 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 14, No 1, (2011), 94p-109p Abstract: We propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler–Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined through a constitutive equation. Necessary conditions for the existence of the minimizer are obtained. They imply various known results in a special cases. Description: MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo URI: http://hdl.handle.net/10525/1684 ISSN: 1311-0454 Appears in Collections: 2011

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