Lyapunov–Schmidt reduction is one of the powerful and significant methods to simplify nonlinear ordinary differential systems (ODSs) with standard formulation. In this paper, we extend Lyapunov–Schmidt reduction to fractional ordinary differential systems (FODSs) with Caputo derivatives.
Lyapunov–Schmidt Reduction for Fractional Differential Systems
Shanghai 200444, China
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 20, 2015; final manuscript received May 6, 2016; published online May 24, 2016. Assoc. Editor: Dumitru Baleanu.
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Li, C., and Ma, L. (May 24, 2016). "Lyapunov–Schmidt Reduction for Fractional Differential Systems." ASME. J. Comput. Nonlinear Dynam. September 2016; 11(5): 051022. https://doi.org/10.1115/1.4033607
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