A Periodic Solution of the Newell-Whitehead-Segel (NWS) Wave Equation via Fractional Calculus
DOI: 10.22055/JACM.2020.33778.2285
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摘要: … differential equation into a nonlinear damping Duffing oscillator. Then, the latter equation … a class of damping nonlinear equations that appears in physical and engineering situations. …
sci-hub.st 参考文章(49)
Kenneth S. Miller, Bertram Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations ,(1993)
Kai Diethelm, Neville J. Ford, Analysis of Fractional Differential Equations Journal of Mathematical Analysis and Applications. ,vol. 265, pp. 229- 248 ,(2002) , 10.1006/JMAA.2000.7194
Haitao Liao, Optimization analysis of Duffing oscillator with fractional derivatives Nonlinear Dynamics. ,vol. 79, pp. 1311- 1328 ,(2015) , 10.1007/S11071-014-1744-Z
Deliang Qian, Changpin Li, Ravi P. Agarwal, Patricia J.Y. Wong, Stability analysis of fractional differential system with Riemann-Liouville derivative Mathematical and Computer Modelling. ,vol. 52, pp. 862- 874 ,(2010) , 10.1016/J.MCM.2010.05.016
Zigen Ouyang, Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay Computers & Mathematics With Applications. ,vol. 61, pp. 860- 870 ,(2011) , 10.1016/J.CAMWA.2010.12.034
Yongjun Shen, Shaopu Yang, Haijun Xing, Guosheng Gao, Primary resonance of Duffing oscillator with fractional-order derivative Communications in Nonlinear Science and Numerical Simulation. ,vol. 17, pp. 3092- 3100 ,(2012) , 10.1016/J.CNSNS.2011.11.024
S. JIMÉNEZ, J. A. GONZÁLEZ, L. VÁZQUEZ, FRACTIONAL DUFFING'S EQUATION AND GEOMETRICAL RESONANCE International Journal of Bifurcation and Chaos. ,vol. 23, pp. 1350089- ,(2013) , 10.1142/S0218127413500892
Elmar Haller, Russell Hart, Manfred J. Mark, Johann G. Danzl, Lukas Reichsöllner, Mattias Gustavsson, Marcello Dalmonte, Guido Pupillo, Hanns-Christoph Nägerl, Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons Nature. ,vol. 466, pp. 597- 600 ,(2010) , 10.1038/NATURE09259
A. Saravanan, N. Magesh, A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation Journal of the Egyptian Mathematical Society. ,vol. 21, pp. 259- 265 ,(2013) , 10.1016/J.JOEMS.2013.03.004
Alan C. Newell, J. A. Whitehead, Finite bandwidth, finite amplitude convection Journal of Fluid Mechanics. ,vol. 38, pp. 279- 303 ,(1969) , 10.1017/S0022112069000176