26
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Analysis of fractionally damped flexible systems via a diffusion equation

, &
Pages 1775-1791 | Received 29 Dec 1993, Published online: 26 Apr 2007

REFERENCES

  • BAGLEY , R. L. , 1979 , Applications of generalized derivatives to viscoelasticity . Ph.D. dissertation , Air Force Institute of Technology , U.S.A .
  • CAPUTO M. , 1976 , J. acoust. Soc. Am. , 60 , 634 .
  • FAHRIZIO , M. , and MORRO , A. , 1992 , Mathematical Problems in Linear Viscoelasticity , STAM Studies in Applied Mathematics .
  • FUJITA , Y. , 1992 , Siam J. Math. Anal. , 23 , 1182 .
  • JUMARIE , C. , 1993 , Int. J. Systems Sci. , 24 , 1113 .
  • JIN CHOI , U. , and MACCAMY , R. C. , 1989 , J. Math. Anal. Appl . 139 , 448 .
  • KAZUHO , I. , and NOBORU , K. , 1991 , Int. J. Control , 54 , 367 .
  • KAWASHIMA , S. , 1993 , J. diff. Equations , 101 , 388 .
  • LANDAU , L. , and LIFSCHITZ , E. , 1971 , Fluid Mechanics ( Moscow Mir ), pp. 246 – 253 .
  • LIOUVILLE , 1832 , J. Ecole Polytech , 13 , Section 21 , 1 – 69 .
  • LOVE , E. , 1971 , J. London Math. Soc. , 3 , 241 .
  • MONTSENY , G. , AUDOUNET , J. , and MBODJE , B. , 1992 , A simple viscoelastic damper model—application to the vibrating string . Proc. 10th Int. Conf. on Analysis and Optimization of Systems , Sophia-Antipolis , France ; 1993, Optimal models of Fractional Integrators—Application to Viscoelastic Systems, IEEE/SMC Conf., Le Touquet, France .
  • MORGUL , O. , 1991 , IEEE Trans, autom. Control , 36 , 953 ; 1992, On the stabilization of the wave equation, Proc. 10th Int. Conf. on Analysis and Optimization of Systems, Sophia-Antipolis, France .
  • PAZY , A. , 1983 , Semigroup of Linear Operators and Applications to Partial Differeniial Equations ( Berlin Springer-Verlag ).
  • RlEMANN , 1953 , Amer. J. Math , 75 , 531 – 546 .
  • SHILOV , G. E. , 1968 , Generalized Functions and Partial Differential Equations ( Reading , U.K. Gordon and Breach ).
  • SKAAR , S. B. , MICHEAL , A. N. , and MILLER , R. K. , 1988 , IEEE Trans, autom. Control , 33 , 348 .
  • YANG , B. , 1992 , Trans. ASME J. dynam. Systems Meas. Control , 114 , 736 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.