38 citations · 121 across the 24 of their papers we have counts for
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math.CA2016★ 9 cited
A generalized definition of Caputo derivatives and its application to fractional ODEs
Lei Li, Jian-Guo Liu
We extend in this paper the definition of Caputo derivatives of order in to a certain class of locally integrable functions using a convolution group. Our strategy is to de…
math.PR2016★ 38 cited
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem
Lei Li, Jian-Guo Liu, Jianfeng Lu
We propose in this work a fractional stochastic differential equation (FSDE) model consistent with the over-damped limit of the generalized Langevin equation model. As a result of…