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Mashallah Matinfar

Mashallah Matinfar

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 35302496

Research

Title
A NUMERICAL APPROACH FOR SOLVING BAGELY-TORVIK AND FRACTIONAL OSCILLATION EQUATIONS
Type
JournalPaper
Keywords
Fractional calculus, Bagely-Torvik equation, Hosoya polynomials, Clique polynomial, Caputo derivative, Fractional oscillation equation, Numerical solution
Year
2023
Journal Advanced Mathematical Models & Applications
DOI
Researchers Saha Salati ، Mashallah Matinfar ، Hossein Jafari

Abstract

In this article, we obtain numerical solutions of Bagely-Torvik and a class of fractional oscillation equations by using a numerical method based on Hosoya and Clique polynomials. The fractional derivative is in the Coputo sense. In this method, rst we convert the given fractional order di erential equations to corresponding fractional integral equations, and then we use the Rayleigh-Ritz method and collocation points to transform the fractional integral equation into a system of algebraic equations. Finally, we gain a numerical result by solving the consequent algebraic system