The Operational Matrices Methods For Solving The Fractional Bagley-Torvik Equations

In conducting this research, the operational matrices methodology was applied. Bernstein and Legendre’s operational matrices have been used to solve the Bagley-Torvik equation. The Liouville-Caputo idea characterizes fractional derivative. The goal of these methods is to turn problems into a system...

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Bibliographic Details
Published inJournal of Applied Science and Engineering Vol. 26; no. 9; pp. 1325 - 1333
Main Authors Shefaa M. N. Jasim, Ghada H. Ibraheem
Format Journal Article
LanguageEnglish
Published 淡江大學 01.09.2023
Tamkang University Press
Subjects
bagley-torvik equations
bernstein polynomials
legendre polynomials
operational matrix
Operational matrix
Legendre polynomials
Bagley-Torvik equations
Bernstein polynomials
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Summary:In conducting this research, the operational matrices methodology was applied. Bernstein and Legendre’s operational matrices have been used to solve the Bagley-Torvik equation. The Liouville-Caputo idea characterizes fractional derivative. The goal of these methods is to turn problems into a system of algebraic equations so that the unknowns may be easily found. Mathematica® 12 program was used to get the outcomes. Examples are provided to illustrate the efficacy of the two suggested techniques. Both approaches are successful, as shown by positive comparisons between the approximate and exact solutions to the problems.
ISSN:2708-9967
2708-9975
DOI:10.6180/jase.202309_26(9).0013