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 .
Citation
XueZai Pan. "Fractional Calculus of Fractal Interpolation Function on ." Abstr. Appl. Anal. 2014 (SI21) 1 - 5, 2014. https://doi.org/10.1155/2014/640628
Information