Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102782 | Physica A: Statistical Mechanics and its Applications | 2017 | 16 Pages |
Abstract
In this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The properties in term of the Laplace and Fourier transforms are analyzed and the results for the anomalous diffusion equations of variable order are discussed. The new formulation is efficient in modeling a class of concentrations in the complex transport process.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Xiao-Jun Yang, J.A. Tenreiro Machado,