From Wavelet Analysis to Fractional Calculus: A Review
Emanuel Guariglia, Rodrigo Capobianco Guido, Gabriel José Pellisser Dalalana
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.
Topics & Concepts
WaveletFractional calculusCalculus (dental)Applied mathematicsMathematicsTime-scale calculusComputer scienceMultivariable calculusMedicineEngineeringArtificial intelligenceControl engineeringDentistryFractional Differential Equations SolutionsImage and Signal Denoising MethodsMathematical Analysis and Transform Methods