Scholarlink

<p>In this paper we study the Riemann-Liouville fractional integral of hidden variable fractal interpolation function constructed by Rakotch contractive mappings. Firstly, we analyze the smoothness of the hidden variable fractal interpolation function. Secondly, we prove that the Riemann-Liouville fractional integral of the hidden variable fractal interpolation function is also a hidden variable fractal interpolation function constructed by Rakotch contractive mapping. Next we study the relation between the box-counting dimension and the order of Riemann-Liouville fractional integral of the hidden variable fractal interpolation function. Finally, we give the graphs of the Riemann-Liouville fractional integrals of hidden variable fractal interpolation functions when <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> = 0.2, 0.02.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Characteristics of Riemann-Liouville fractional integral of hidden variable fractal interpolation function constructed using Rakotch contractive mappings

  • 期刊论文

  • 发表日期：

    2025年11月3日

查看全文
  • ChungIl Ro,
  • SongChol Kwon,
  • CholHui Yun

摘要

In this paper we study the Riemann-Liouville fractional integral of hidden variable fractal interpolation function constructed by Rakotch contractive mappings. Firstly, we analyze the smoothness of the hidden variable fractal interpolation function. Secondly, we prove that the Riemann-Liouville fractional integral of the hidden variable fractal interpolation function is also a hidden variable fractal interpolation function constructed by Rakotch contractive mapping. Next we study the relation between the box-counting dimension and the order of Riemann-Liouville fractional integral of the hidden variable fractal interpolation function. Finally, we give the graphs of the Riemann-Liouville fractional integrals of hidden variable fractal interpolation functions when \(\alpha \) α = 0.2, 0.02.