Open AccessConstruction of Functions for Fractional Derivatives using Matlab
Author(s) -
Olagunju Adeyemi Sunday,
Joseph Folake Lois
Publication year - 2021
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2021/v36i630368
Subject(s) - matlab , fractional calculus , taylor series , function (biology) , computer science , integer (computer science) , polynomial , mathematics , order (exchange) , series (stratigraphy) , fractional programming , computational science , algebra over a field , algorithm , mathematical optimization , pure mathematics , mathematical analysis , programming language , nonlinear programming , paleontology , physics , finance , nonlinear system , quantum mechanics , evolutionary biology , economics , biology
MATLAB is a high level programming tool for technical computing, its application cuts across different sphere of science, engineering, finance, communication, music etc. With the current increase in the use of non-integer order derivatives, there is a need to have tools that handle them for effective applications. In this paper, we present a brief comparative review of 2 expressions of fractional derivative. MATLAB functions for approximating Riemann-Liouville and Caputo fractional derivatives are presented alongside. Numerical simulations with test examples are implemented and results compared. To effectively handle non-polynomial function, Taylor series expansion is employed to convert the function into a form that can be easily handled.