ANALYSIS ON WEYL-MARCHAUD FRACTIONAL DERIVATIVE FOR TYPES OF FRACTAL INTERPOLATION FUNCTION WITH FRACTAL DIMENSION

被引：22
|
作者：
Priyanka, T. M. C. [1 ]
Gowrisankar, A. [1 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 07期
关键词：
Fractal Interpolation Function; Iterated Rinction System; Fractal Dimension; Weyl-Marchaud Fractional Derivative; CALCULUS;
D O I：
10.1142/S0218348X21502157
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the Weyl-Marchaud fractional derivative of various fractal interpolation functions (FIFs) like linear FIF, quadratic FIF, hidden variable FIF and alpha-FIF is investigated. Further, the fractal dimension of the quadratic FIF is estimated and it is compared with the order of the weyl Marchaud fractional derivative. Besides, this paper shows that the Weyl Marchaud fractional derivative of all FIFs is again FIFs if the order of the fractional derivative meets the necessary condition.
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页数：24
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