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Fractional Calculus of Fractal Interpolation Function on [0,b](b>0)
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-10
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The paper researches the continuity of fractal interpolation function’s fractional order integral on [0,+∞) 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,+∞) and fractional order integral of fractal interpolation is still a fractal interpolation function on the interval [0,b].
American Psychological Association (APA)
Pan, Xuezai. 2014. Fractional Calculus of Fractal Interpolation Function on [0,b](b>0). Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014419
Modern Language Association (MLA)
Pan, Xuezai. Fractional Calculus of Fractal Interpolation Function on [0,b](b>0). Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014419
American Medical Association (AMA)
Pan, Xuezai. Fractional Calculus of Fractal Interpolation Function on [0,b](b>0). Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014419
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014419