The Initial Value Problem for Fractional Order Differential Equations with Constant Coefficients. 2nd Edition

Abstract

Systems of fractional order differential equations are constructed to solve for viscoelastically damped structural motion. To reduce computational effort the equations of motion are cast as an initial value problem where the history dependence is approximated by retaining events only from the recent past. Several strong parallels arise with ordinary, linear differential equations. These parallels plus the well-posed nature of the fractional order differential equations leads one to view the fractional order initial value problem as an extension of the theory of ordinary, linear differential equations with constant coefficients. Keywords: Structural response; Vibration control; Damping. (KR)

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1989
Accession Number
ADA213295

Entities

People

  • Ronald L. Bagley

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computational Science
  • Convolution Integrals
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Equations Of Motion
  • Exponential Functions
  • Integral Equations
  • Integrals
  • Materials
  • Mechanics
  • Modal Analysis
  • Step Functions
  • Structural Response
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.