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Adjoint Fractional Differential Expressions and Operators

[+] Author Affiliations
Igor Podlubny

Technical University of Kosice, Kosice, Slovakia

YangQuan Chen

Utah State University, Logan, UT

Paper No. DETC2007-35005, pp. 1385-1390; 6 pages
doi:10.1115/DETC2007-35005
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

In this article we present the notions of adjoint differential expressions for fractional-order differential expressions, adjoint boundary conditions for fractional differential equations, and adjoint fractional-order operators. These notions are based on new formulas obtained for various types of fractional derivatives. The introduced notions can be used in many fields of modelling and control of real dynamical systems and processes.

Copyright © 2007 by ASME

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