Sabatier Agrawal Machado Advances in Fractional Calculus Episode 10 pot

... can describe © 2007 Springer. J. Sabatier et al. (eds.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, 377–388. IN DESCRIPTION OF DISORDERED ... Sj¨oberg et al. sists of a linear fractional derivative element, a nonlinear elastic element,and a © 2007 Springer. J. Sabatier et al. (eds.), Advances in Fractional...

Ngày tải lên: 12/08/2014, 16:21

... relaxation, J. Sabatier et al. (eds.), Advances in Fractional Calculus: Theoretical Developments and Applications Satwinder JitSingh and Anindya Chatterjee ADVANCES IN FRACTIONAL CALCULUS ... 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...

Ngày tải lên: 12/08/2014, 16:21

... s output K 10 −2 10 −1 10 0 10 1 10 2 −50 0 50 100 gain / dB 10 −2 10 −1 10 0 10 1 10 2 −250 −200 −150 100 phase / º frequency / rad⋅s −1 10 −2 10 −1 10 0 10 1 10 2 100 −50 0 gain / dB 10 −2 10 −1 10 0 10 1 10 2 −80 −60 −40 −20 0 20 gain ... I – – – 14476 0 10 20 30 40 50 0 0.5 1 1.5 time / s output K 10 −2 10 −1 10 0 10 1 10 2 −50 0 5...

Ngày tải lên: 12/08/2014, 16:21

... calculus in bioengineering. Crit. Rev. Biomed. Eng. 32(1):1 104 . 7. Magin RL (2004) Fractional calculus in bioengineering – Part 2. Crit. Rev. Biomed. Eng. 32(2) :105 –193. 8. Magin RL (2004) Fractional ... are also included in the appendix. 2 1 Introduction Fractional order calculus, a 300-years-old topic [1, 2, 3, 4], has been gaining increasing attention in research...

Ngày tải lên: 12/08/2014, 16:21

... 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 situation is obtained ... DETC2005-84743)as Professors Machado, Sabatier, and Agrawal (Springer). Appendix 1 MATLAB functions for optimum fractional model reduction a chapter in the book entitled editedby Advances...

Ngày tải lên: 12/08/2014, 16:21

... for fractional diffusion equations. Physica A, 278 :107 –125. 24. Magin RL (2004) Fractional calculus in bioengineering. Crit. Rev. Biom. Eng., 32(1):1 104 . 25. Zaslavsky GM (2002) Chaos, fractional ... © 2007 Springer. 139 in Physics and Engineering, 139 –154. AVL List GmbH, A-8020 Graz, Austria; E-mail: peter.krempl@avl.com J. Sabatier et al. (eds.), Advances in...

Ngày tải lên: 12/08/2014, 16:21

... 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 fundamental ... > 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 equati...

Ngày tải lên: 12/08/2014, 16:21

... [9]. Singh and Chatterjee FRACTIONALDAMPING: STOCHASTIC 39911 10 −4 10 −2 10 0 10 2 10 4 28 29 30 31 32 Frequency Phase angle (b) (iω) 1/3 15 Non−uniform size elements 10 −4 10 −2 10 0 10 2 10 4 10 −5 10 0 10 5 Frequency Magnitude (c) (iω) 1/2 15 ... Non−uniform size elements 10 −4 10 −2 10 0 10 2 10 4 10 −2 10 0 10 2 Frequency Magnitude (a) (iω) 1/3...

Ngày tải lên: 12/08/2014, 16:21

... shown in the following equation [2]:            101 0101 0 101 0101 0 3113 2024      ssss ssss s . (4) 3 Fractional Calculus The transfer function can be defined in ... problem (see, for instance [1–6]). © 2007 Springer. J. Sabatier et al. (eds.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and...

Ngày tải lên: 12/08/2014, 16:21

... (dB) CS (dB) 10 -2 10 -1 10 0 10 1 -150 -100 -50 0 50 10 -2 10 -1 10 0 10 1 -30 -20 -10 0 10 10 -2 10 -1 10 0 10 1 -10 0 10 20 30 40 Frequency (rad/s) 10 -2 10 -1 10 0 10 1 -150 -100 -50 0 50 Frequency ... 505 10 -5 10 -4 10 -3 10 -2 10 -1 10 0 10 1 10 2 10 3 -200 -100 0 100 200 Bode Diagram of Open Loops (CRONE & PID) 10 -...

Ngày tải lên: 12/08/2014, 16:21