Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors

被引：24

作者：

Gowrisankar, A. ^{[1
]}

Prasad, M. Guru Prem ^{[2
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore, Tamil Nadu, India

[2] Indian Inst Technol Guwahati, Dept Math, Gauhati, Assam, India

来源：

JOURNAL OF ANALYSIS | 2019年 / 27卷 / 02期

关键词：

Fractal interpolation function; Variable scaling factors; Riemann-Liouvllie fractional integral; Riemann-Liouvllie fractional derivative; Fractal dimension; 28A80; 26A33; 41A05;

D O I：

10.1007/s41478-018-0133-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we explore the Riemann-Liouvllie fractional calculus of quadratic fractal interpolation function (QFIF) with variable scaling factors. Fractional calculus of QFIF with predefined initial condition is investigated in an arbitrary closed interval of R. Further, the relation between the order of fractional integral (derivative) and the box dimension of QFIF is established.

引用

页码：347 / 363

页数：17

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