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Research Article Open access CC BY 4.0

Construction of Functions for Fractional Derivatives using Matlab

Olagunju Adeyemi Sunday, Joseph Folake Lois

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 10 Jul 2021

10.9734/jamcs/2021/v36i630368

Abstract

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.

MATLAB fractional derivative caputo derivative riemann liouville derivative

Cited by 6

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Hybrid Block Methods with Constructed Orthogonal Basis for Solution of Third-Order Ordinary Differential Equations

Folake Lois Joseph, Adeyemi Sunday Olagunju, Emmanuel Oluseye Adeyefa · Journal of the Nigerian Society of Physical Sciences · 2022

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