From Wavelet Analysis to Fractional Calculus: A Review

被引：11
作者：
Guariglia, Emanuel [1 ,2 ]
Guido, Rodrigo C. [2 ]
Dalalana, Gabriel J. P. [2 ]
机构：
[1] Wenzhou Kean Univ, Coll Sci & Technol, Sch Math Sci, 88 Daxue Rd, Wenzhou 325060, Peoples R China
[2] Sao Paulo State Univ UNESP, Inst Biosci Letters & Exact Sci, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
来源：
MATHEMATICS | 2023年 / 11卷 / 07期
关键词：
wavelet transform; wavelet basis; multiresolution analysis; fractional derivative; fractional model; fractional system; PID CONTROLLER; TIME; ALGORITHM; EQUATIONS; CLASSIFICATION; TRANSFORMS; FREQUENCY;
D O I：
10.3390/math11071606
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we review some important results on wavelets, together with their main applications. Similarly, we present the main results on fractional calculus and their current applications in pure and applied science. We conclude the paper showing the close interconnection between wavelet analysis and fractional calculus.
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页数：12
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