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/content/aip/journal/chaos/26/8/10.1063/1.4960960
1.
R. Hilfer (Editor), Applications of Fractional Calculus in Physics ( World Scientific Publishing Company, Singapore, 2000).
2.
I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Mathematics in Science and Engineering Vol. 198 ( Academic Press, New York, 1999).
3.
A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematical Studies Vol. 204 ( Elsevier (North-Holland) Science Publishers, Amsterdam, 2006).
4.
K. B. Oldham and J. Spanier, The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order ( Academic Press, New York, 1974).
5.
Advanced Topics in Fractional Dynamics, in Advances in Mathematical Physics, edited by D. Baleanu, H. M. Srivastava, V. Daftardar-Gejji, C. Li, and J. A. T. Machado ( Hindawi Publishing Corporation, Cairo, 2013).
6.
Fractional Dynamics, edited by C. Cattani, H. M. Srivastava, and X.-J. Yang ( Emerging Science Publishers (De Gruyter Open), Berlin and Warsaw, 2015).
7.
C. Li and F. Zheng, Numerical Methods for Fractional Calculus, Series on Numerical Analysis and Scientific Computing ( Chapman and Hall, CRC Press, Boca Raton, 2015).
8.
X.-J. Yang, D. Baleanu, and H. M. Srivastava, Local Fractional Integral Transforms and Their Applications ( Academic Press, Elsevier Science Publishers, Amsterdam, 2016).
9.
Q. Xu, M. Shi, and Z. Wang, “ Stability and delay sensitivity of neutral fractional-delay systems,” Chaos 26, 084301 (2016).
http://dx.doi.org/10.1063/1.4958713
10.
Y. Yang, W. Xua, G. Yang, and W. Jia, “ Response analysis of a class of quasi-linear systems with fractional derivative excited by Poisson white noise,” Chaos 26, 084302 (2016).
http://dx.doi.org/10.1063/1.4958714
11.
L. Chen, W. Pan, R. Wu, J. A. T. Machado, and A. M. Lopes, “ Design and implementation of grid multi-scroll fractional-order chaotic attractors,” Chaos 26, 084303 (2016).
http://dx.doi.org/10.1063/1.4958717
12.
X. Liu, L. Hong, and J. Jiang, “ Global bifurcations in fractional-order chaotic systems with an extended generalized cell mapping method,” Chaos 26, 084304 (2016).
http://dx.doi.org/10.1063/1.4958718
13.
E. F. D. Goufo, “ Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: Basic theory and applications,” Chaos 26, 084305 (2016).
http://dx.doi.org/10.1063/1.4958921
14.
S. Bhalekar, “ Stability and bifurcation analysis of a generalized scalar delay differential equation,” Chaos 26, 084306 (2016).
http://dx.doi.org/10.1063/1.4958923
15.
Y. Liu, J. Guan, C. Ma, and S. Guo, “ Generation of 2N + 1-scroll existence in new three-dimensional chaos systems,” Chaos 26, 084307 (2016).
http://dx.doi.org/10.1063/1.4958919
16.
W. Ma, C. Li, and Y. Wu, “ Impulsive synchronization of fractional Takagi-Sugeno fuzzy complex networks,” Chaos 26, 084311 (2016).
http://dx.doi.org/10.1063/1.4959535
17.
G.-C. Wu, D. Baleanu, and H.-P. Xie, “ Riesz Riemann-Liouville difference on discrete domains,” Chaos 26, 084308 (2016).
http://dx.doi.org/10.1063/1.4958920
18.
S.-F. Wen, Y.-J. Shen, X.-N. Wang, S.-P. Yang, and H.-J. Xing, “ Dynamical analysis of strongly nonlinear fractional-order Mathieu-Duffing equation,” Chaos 26, 084309 (2016).
http://dx.doi.org/10.1063/1.4959149
19.
C. Zeng, Q. Yang, and Y. Chen, “ Bifurcation dynamics of the tempered fractional Langevin equation,” Chaos 26, 084310 (2016).
http://dx.doi.org/10.1063/1.4959533
20.
X.-J. Yang, J. A. T. Machado, D. Baleanu, and C. Cattani, “ On exact traveling-wave solutions for local fractional Korteweg-de Vries equation,” Chaos 26, 084312 (2016).
http://dx.doi.org/10.1063/1.4960543
21.
M.-L. Deng and W.-Q. Zhu, “ Response of MDOF strongly nonlinear systems to fractional Gaussian noises,” Chaos 26, 084313 (2016).
http://dx.doi.org/10.1063/1.4960817
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/content/aip/journal/chaos/26/8/10.1063/1.4960960
2016-08-19
2016-12-06

Abstract

This Special Focus Issue contains several recent developments and advances on the subject of Fractional Dynamics and its widespread applications in various areas of the mathematical, physical, and engineering sciences.

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