Sabatier Agrawal Machado Advances in Fractional Calculus Episode 4 doc

... Chaos, 11:295–305. 34. Zaslavsky GM, Edelman M (20 04) Fractional kinetics: from pseudochaotic dynamics to Maxwell’s Demon. Physica D, 193:128– 147 . 35. Khinchin AYa (19 64) Continued Fractions. ... Mainardi F (2002) Waiting-times and returns in high- frequency financial data: an empirical study. Physica A, 3 14( 1 4) : 749 –755. 13. Ortigueira MD (2003) On the initial conditions...

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... Springer. J. Sabatier et al. (eds.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, 41 9 43 4. F3 340 5 TALENCE Cedex, France; Tel: +33 (0) 540 006 ... Applications in Physics and Engineering, 389 40 2. Abstract Damping, fractional derivative, disorder, Galerkin, finite element. unknown to engineering audiences (this d...

Ngày tải lên: 12/08/2014, 16:21

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... is given using the Riemann Louville defini- – © 2007 Springer. in Physics and Engineering, 3– 14. TO APPROXIMATION USING AGALERKIN TECHNIQUE Mechanical Engineering Department, Indian Institute ... relaxation, J. Sabatier et al. (eds.), Advances in Fractional Calculus: Theoretical Developments and Applications Satwinder JitSingh and Anindya Chatterjee ADVANCES IN FRACTIONAL...

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... 6.59e 6 8.24e 6 4. 78e 6 3.81e 4 8.26e 4 2.12e 5 7.16e 5 7.24e 2 3.2 1.19e 5 4. 63e 6 5.78e 6 4. 01e 6 2.77e 4 7 .47 e 4 1.30e 6 1.29e 5 3.33e 2 4. 0 8.91e 6 3 .49 e 6 4. 35e 6 2.64e 6 2.14e 4 4.54e 4 7.36e ... 1.74e 3 1.15e 3 9.20e 4 1.89e 4 7.18e 2 0.00625 8.90e 4 5.92e 4 4.74e 4 9.17e 5 6.95e 2 0.003125 4. 53e 4 3.02e 4 2 .42 e 4 1.93e 4 6.79e 2 Agrawal...

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... DETC2005- 847 43)as Professors Machado, Sabatier, and Agrawal (Springer). Appendix 1 MATLAB functions for optimum fractional model reduction a chapter in the book entitled editedby Advances in Fractional ... integrand has infinite poles at every nh, with nZ. The integration path must consist of infinite lines above and below the real axis closing at the infinite. The easiest situ...

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... > 0 restricted to time intervals containing jumps In free space, and supposing that advection applies during time intervals of mean a  , [4] obtained the following macroscopic equation ... facts that spin  acts experimentally like something rotating in space having an intrinsic   couples with the normal orbital angular momentum to the resulting total    Since all fundament...

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... Proceedings of 2005 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Long Beach, CA, September 24 28. NONLINEAR FRACTIONAL ... element, a nonlinear elastic element,and a © 2007 Springer. J. Sabatier et al. (eds.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and En...

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... +1 e −0.2s (43 ) G 4b (s)= 1 s 3 +2.539s 2 +62.15s ≈ K 20s +1 e −0.2s (44 ) C 4a (s)=0.0109 + 6. 149 2 s 0.6363 +2.3956s 0. 549 4 (45 ) C 4b (s)=0.3835 + 14. 7 942 s 0. 748 0 +3. 646 6s 0.3835 (46 ) C 4c (s)=0.8271 ... tuning rules for S-shaped response plants P I λ D µ 1 −1.05 74 0.60 14 1.1851 0.8793 0.2778 L 24. 542 0 0 .40 25 −0. 346 4 −15.0 846 −2.1522 T 0.3 544 0.7921 −0. 049 2...

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... Advances in Fractional Calculus: Theoretical Developments and Applications 543 in Physics and Engineering, 543 –552. ofElectrical and Computer Engineering, Utah State University, 41 20 Old Main Hill, ... Design. © 2007 Springer. 527 in Physics and Engineering, 527– 542 . J. Sabatier et al. (eds.), Advances in Fractional Calculus: Theoretical Developments and Applic...

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