Sabatier Agrawal Machado Advances in Fractional Calculus Episode 2 pps

... 0.63 0. 025 17. 72 13. 52 14.77 23 .50 1.05 18.16 13.70 15.53 1.13 0.0 125 65.81 49.61 51.06 23 .22 2. 09 66.98 49.59 52. 13 2 14 0.00 625 25 2.64 189.53 186 .20 23 .77 4 .22 25 3.09 189.61 186 30 4 .25 0.003 125 ... calculus in bioengineering. Crit. Rev. Biomed. Eng. 32( 1):1–104. 7. Magin RL (20 04) Fractional calculus in bioengineering – Part 2. Crit. Rev. Biomed....

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... (1-e ih ) (+1) /2 (1-e ih ) -1 e ih /2 = e it || 2 sin(h /2) +1 [] 2i sin(h /2) -1 So, there is a linear system with frequency response given by: H() = 2 || 2 sin(h /2) +1 [] 2i sin(h /2) -1 (63) that ... lim ze ih (1-z -1 )  /2 (1-z)  /2 = (1-e -ih )  /2 (1-e ih )  /2 = || e ih /2 - e -ih /2  = || 2 sin(h /2)  (49) So, || 2 sin(h /2) ...

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...        12 2 ˆ () ( v) ( v) 1 2 kuik uik D          12 2 ˆ () ( v) ( v) E kuik uik     Noticing that D is equal to 22 22 22 00 22 22 00 (1 ) ( v ) ( ) (1 ) v uk k uk ... EQUATIONS 149                           2 2 2 2 , 22 222 sin 1 sin sin 1 !! zyx LLLL (36) and commutes with all three components of L:...

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... Regulation and Maintenance H 2 O H 2 O H 2 O H 2 O H 2 O Secretory cells of sweat gland Sweat gland Sweat pores Skin Water loss (sweating) H 2 O H 2 O H 2 O H 2 O 2 3 4 5 1 Figure 24 .5 Effects of ... the calculi into fine granules easily passed in the urine. 25 calc ϭ calcium, stone ϩ ul ϭ little 26 litho ϭ stone ϩ tripsy ϭ crushing The Urinary Bladder The urinary...

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... functions, zeros, fractional calculus . © 20 07 Springer. J. Sabatier et al. (eds.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, 15 26 . 15 ... is given using the Riemann Louville defini- – © 20 07 Springer. in Physics and Engineering, 3–14. TO APPROXIMATION USING AGALERKIN TECHNIQUE Mechanical Engineering Depar...

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... were publishedalready in proceedings of IDETC/CIE 20 05, the ASME 20 05 Inter- InternationalDesign Engineering Technical Conference and Computers and information in Engineering Conference, September 24 28 , 20 05, ... 9:15–34. 23 . Metzler R, Joseph K (20 00) Boundary value problems for fractional diffusion equations. Physica A, 27 8:107– 125 . 24 . Magin RL (20 04) Fractional...

Ngày tải lên: 12/08/2014, 16:21

...                                     dvdusedvduse dvdusedvduse sH ivu vu ivu vu ivu vu ivu vu vv vv 5.0 )( 5.05.0 )5.0( 5.0 1 5.0 )5.0( 5.0 1 5.05.0 5.1 2 2 2 2 2 2 2 2 2 4 2 1 2 1 2 6 1   (45) function 4)(6 )( 5.015.015.1 2    ii sss sH  , (46) 4))ln(5.0(cos (26 )( 5.1 2   sss sH  . (47) The negative weight...

Ngày tải lên: 12/08/2014, 16:21

... 0.0 02)  4. 521 3 (  0.0909) 0.5075 (  0.001) 1.94 42 (  0.0003) Nigmatullin and Alekhin (diameter, (z = 3) (z = 4) (z = 6) 20 0 × 20 0 20 0 × 20 0 20 0 × 20 0 Table 2. Parameters of the QF obtained ... Applications in Physics and Engineering, 389–4 02. Abstract Damping, fractional derivative, disorder, Galerkin, finite element. unknown to engineering audiences (this d...

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... state.                                                    16,416,416,316,316 ,21 6 ,21 6,116,1 15,415,415,315,315 ,21 5 ,21 5,115,1 14,414,414,314,314 ,21 4 ,21 4,114,1 13,413,413,313,313 ,21 3 ,21 3,113,1 12, 4 12, 4 12, 3 12, 3 12, 2 12, 2 12, 1 12, 1 11,411,411,311,311 ,21 1 ,21 1,111,1 10,410,410,310,310 ,21 0 ,21 0,110,1 9,49,49,39,39...

Ngày tải lên: 12/08/2014, 16:21

... + 0.5158 s 1. 427 7 +0 .20 45s 1. 020 2 ( 32) C 1b (s)=1 .25 07 + 1.3106 s 1. 123 0 − 0 .25 89s 0.1533 (33) C 1c (s)= 12. 0000 + 60.0000 s +0.6000s (34) G 2 (s)= K 4. 320 0s 2 +19.1801s +1 ≈ K 1 +20 s e −0.2s (35) C 2a (s)=0.0880 ... 0.47 12 1.3190 0.5 425 K cr 0.0000 0. 023 8 −0.0003 −0.0 024 −0.0 023 P cr 0.4795 0 .27 83 −0.0 029 2. 625 1 −0. 028 1 1/K cr 32. 2516 −56 .23 73 7.051...

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