Fractional Calculus of Fractal Interpolation Function on

XueZai Pan

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

Abstract:

The paper researches the continuity of fractal interpolation function’s fractional order integral on and judges whether fractional order integral of fractal interpolation function is still a fractal interpolation function on 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 and fractional order integral of fractal interpolation is still a fractal interpolation function on the interval .

Date: 2014
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2014/640628.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2014/640628.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:640628

DOI: 10.1155/2014/640628

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().