From Wavelet Analysis to Fractional Calculus: A Review

Abstract

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.

Keywords

• wavelet transform
• wavelet basis
• multiresolution analysis
• fractional derivative
• fractional model
• fractional system