We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
About the convergence type of improper integrals defining fractional derivatives.
- Authors
KALAM, B.; VAINIKKO, G.
- Abstract
This article continues the analysis of the class of fractionally differentiable functions. We complete the main result of [4] that characterises the class of fractionally differentiable functions in terms of the pointwise convergence of certain improper integrals containing these functions. Our aim is to present an example, which shows that in order to obtain all fractionally differentiable functions, one may not replace the conditional convergence of those integrals by their absolute convergence.
- Subjects
FRACTIONAL calculus; DIFFERENTIABLE functions; FRACTIONAL integrals; INTEGRAL functions
- Publication
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2019, Vol 23, Issue 1, p95
- ISSN
1406-2283
- Publication type
Article
- DOI
10.12697/ACUTM.2019.23.10