New Discretization of Caputo-Fabrizio Derivative
Loading...
Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Heidelberg
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
We derive a numerical approximation, namely L1-2 formula, to the Caputo-Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1-2 formulas using Lagrange interpolation, respectively. We compute Caputo-Fabrizio derivatives of some known functions both theoretically and numerically. In addition, we solve non/linear sub-diffusion equations to test theoretical findings. Numerical results confirm the theoretically observed convergence rates.
Description
Akman, Tugba/0000-0003-1206-2287
ORCID
Keywords
Caputo-Fabrizio Derivative, Fractional Differentiation, L1 Formula, L1-2 Formula, Quadratic Interpolation, fractional differentiation, quadratic interpolation, Caputo-Fabrizio derivative, \(L1-2\) formula, Fractional partial differential equations, \(L\)1 formula
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Akman, Tugba; Yildiz, Burak; Baleanu, Dumitru, "New discretization of Caputo-Fabrizio derivative", Computational & Applied Mathematics, Vol. 37, No.3, pp. 3307-3333, (2018)
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
37
Source
Computational and Applied Mathematics
Volume
37
Issue
3
Start Page
3307
End Page
3333
PlumX Metrics
Citations
CrossRef : 7
Scopus : 41
Captures
Mendeley Readers : 5
Google Scholar™
