Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775498 | Applied Mathematics and Computation | 2017 | 12 Pages |
Abstract
In this paper, convergence capability of the conventional fractional order gradient methods (FOGMs) is analyzed and a new FOGM with guaranteed and faster convergence ability is proposed. In particular, we further consider the case that the derivative order varies between 1 and 2, and give some discussion on how to determine the derivative order in the algorithm settings. Simulation results from a number of numerical examples are provided to illustrate the approaches.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuquan Chen, Qing Gao, Yiheng Wei, Yong Wang,