Riemann Liouville fractional integral of hidden variable fractal interpolation function

被引：14

作者：

Ri, Mi-Gyong ^{[1
]}

Yun, Chol-Hui ^{[1
]}

机构：

[1] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 140卷

关键词：

Fractional integral; Hidden variable fractal interpolation function; Function contractivity factor; Fractal interpolation function; Iterated function system;

D O I：

10.1016/j.chaos.2020.110126

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study Riemann Liouville fractional integral of hidden variable fractal interpolation function (HVFIF) constructed by functions whose Lipschitz exponents are in (0, 1]. Firstly, we present a construction of HVFIF using functions of which Lipschitz exponents are in (0, 1], so that the Riemann Liouville fractional integral of the HVFIF becomes a fractal interpolation function, and give an example where Lipschitz exponents of functions of IFS are in (0, 1]. Secondly, we prove that the Riemann Liouville fractional integral is also a HVFIF with function vertical scaling factors defined newly. Finally, we give the graphs of 0.8- and 0.2-order fractional integrals of the HVFIFs constructed in the above example. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：13

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