DocumentCode
164908
Title
A close look at fractional derivatives approximations
Author
Sousa, Ercilia
Author_Institution
CMUC, Univ. of Coimbra, Coimbra, Portugal
fYear
2014
fDate
23-25 June 2014
Firstpage
1
Lastpage
5
Abstract
In this work we discuss the accuracy of some approximations for fractional derivatives. We analyze the cases in which the fractional derivatives are defined in a domain different from the real line and show how the order of accuracy can be affected by the presence of boundaries. We observe the accuracy can be easily lost, in particular near the boundary points, unless some conditions of regularity are satisfied or certain boundary conditions are verified.
Keywords
approximation theory; approximation method; boundary condition; fractional derivatives; Accuracy; Approximation methods; Boundary conditions; Convergence; Equations; Finite wordlength effects; Physics;
fLanguage
English
Publisher
ieee
Conference_Titel
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location
Catania
Type
conf
DOI
10.1109/ICFDA.2014.6967384
Filename
6967384
Link To Document