Lei Li

activity

20162023

most citedFractional stochastic differential equations satisfying fluctuation-dissipation theorem

38 citations · 121 across the 24 of their papers we have counts for

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3 papers · 1 filter

math.CA2017

A note on one-dimensional time fractional ODEs

Yuanyuan Feng, Lei Li, Jian-Guo Liu +1

In this note, we prove or re-prove several important results regarding one dimensional time fractional ODEs following our previous work \cite{fllx17}. Here we use the definition of…

math.CA2017★ 2 cited

Continuous and discrete one dimensional autonomous fractional ODEs

Yuanyuan Feng, Lei Li, Jian-Guo Liu +1

In this paper, we study 1D autonomous fractional ODEs $D_{c}^{γ} u = f (u), 0 < γ < 1$ , where $u : [0, \infty) \mapsto R$ is the unknown function and $D_{c}^{γ}$ is the generalized Caputo de…

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 $(0, 1)$ to a certain class of locally integrable functions using a convolution group. Our strategy is to de…