## THERMAL SCIENCE

International Scientific Journal

### A NUMERICAL STUDY FOR SOLVING MULTI-TERM FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS

**ABSTRACT**

In this article, we extended operational matrices using orthonormal Boubaker polynomials of Riemann-Liouville fractional integration and Caputo derivative to find numerical solution of multi-term fractional-order differential equations (FDE). The proposed method is utilized to convert FDE into a system of algebraic equations. The convergence of the method is proved. Examples are given to explain the simplicity, computational time and accuracy of the method.

**KEYWORDS**

PAPER SUBMITTED: 2022-02-01

PAPER REVISED: 2022-03-04

PAPER ACCEPTED: 2022-03-14

PUBLISHED ONLINE: 2023-04-08

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