A note on one-dimensional time fractional ODEs

作者：Feng Yuanyuan^*; Li Lei; Liu Jian Guo; Xu Xiaoqian

来源：Applied Mathematics Letters, 2018, 83: 87-94.

DOI：10.1016/j.aml.2018.03.015

• Fractional ODE
• Caputo derivative
• Comparison principle
• Asymptotic behavior
• Stability

In this note, we prove or re-prove several important results regarding one dimensional time fractional ODEs following our previous work Feng et al. [15]. Here we use the definition of Caputo derivative proposed in Li and Liu (2017) [5,7] based on a convolution group. In particular, we establish generalized comparison principles consistent with the new definition of Caputo derivatives. In addition, we establish the full asymptotic behaviors of the so

• 出版日期2018-9