A new fractional operator of variable order: application in the  description of anomalous diffusion

Yang, Xiao-Jun; Tenreiro Machado, J. A.

http://hdl.handle.net/10400.22/23815

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
ART_DEE_JTM_2017.pdf		424.66 KB	Adobe PDF	Download

Send Feedback

Authors

Yang, Xiao-Jun

Tenreiro Machado, J. A.

Abstract(s)

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.