Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets

Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets

This article describes an approximation technique based on fractional order Bernstein wavelets for the numerical simulations of fractional oscillation equations under variable order, and the fractional order Bernstein wavelets are derived by means of fractional Bernstein polynomials. The oscillation...

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Bibliographic Details
Main Authors: Ashish Rayal, Bhagawati Prasad Joshi, Mukesh Pandey, Delfim F. M. Torres
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Mathematics
Subjects:
fractional-order Bernstein wavelets
variable-order fractional oscillation equations
function approximations
error analysis
collocation grid
Online Access:https://www.mdpi.com/2227-7390/11/11/2503

Internet

https://www.mdpi.com/2227-7390/11/11/2503

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