Numerical Fractional Differentiation: Stability Estimate and Regularization
Journal of Advances in Mathematics and Computer Science · pp. 448–457 · Published 16 Jun 2013
10.9734/BJMCS/2013/3921Abstract
It is well known that the problem of fractional differentiation n is an ill-posed problem. So far there exists many approximation methods for solving this problem. In this paper we prove a stability estimate for a problem of fractional differentiation. Based on the obtained stability estimate, we present a Tikhonov regularization method and obtain the error estimate. According to the optimality theory of regularization, the error estimates are order optimal. Numerical experiment shows that the regularization works well.
Cited by 0
No indexed citations yet.
Related research
- Quality Changes of Common Edible Frying Oils during Frying of Traditional Foods — shares topic coverage
- Comparison of Non Parametric Stability Statistics for Improvement of Adaptation in Wheat-Rye Disomic Addition Lines — shares topic coverage
- Genotypic × Environment Interaction and Stability Analysis for Yield and Yield Attributes in Taramira (Eruca sativa Mill.) — shares topic coverage
- Deciphering the Genotype × Environment Interaction for Identification of Superior Genotypes of Mango (Mangifera indica L.) using Ammi Stability Measures — shares topic coverage
- Assessment of Promising Diverse Germplasm Accessions for Stability with Respect to Yield and Its Attributing Traits in Vegetable Amaranth — shares topic coverage
Article metrics
Real usage data collected on this platform.
28
Page views
0
PDF downloads
3
Outbound clicks
0
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.