Fractional calculus of fractal interpolation function on \([0,b]\) (\(b>0\))
type: Item
instance of: scholarly article
title: Fractional calculus of fractal interpolation function on \([0,b]\) (\(b>0\))
zbMATH Open document ID: 1468.41004
DOI: 10.1155/2014/640628
author: XueZai Pan
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The paper researches the continuity of fractal interpolation function's fractional order integral on \([0,+\infty)\) and judges whether fractional order integral of fractal interpolation function is still a fractal interpolation function on \([0,b]\) (\(b>0\)) or not. Relevant theorems of iterated function system and Riemann-Liouville fractional order calculus are used to prove the above researched content. The conclusion indicates that fractional order integral of fractal interpolation function is a continuous function on \([0,+\infty)\) and fractional order integral of fractal interpolation is still a fractal interpolation function on the interval \([0,b]\).
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 7022803
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/640628
OpenAlex ID: W1525335556
Wikidata QID: Q59040280
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description: scientific article; zbMATH DE number 7022803