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

被引：0

作者：

Narsale, Sonali M. ^{[1
]}

Jafari, Hossein ^{[2
,3
]}

Lodhi, Ram Kishun ^{[4
]}

机构：

[1] Symbiosis Int Deemed Univ, Symbiosis Inst Technol, Pune, India

[2] Univ South Africa, Dept Math Sci, Pretoria, South Africa

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Symbiosis Int Univ, Symbiosis Inst Technol, Dept Appl Sci, Pune, India

来源：

THERMAL SCIENCE | 2023年 / 27卷 / Special Issue 1期

关键词：

fractional differential equations; orthonormal Boubaker polynomials; Gram-Schmidt process; operational matrix; covergence analysis; OPERATIONAL MATRICES;

D O I：

10.2298/TSCI23S1401N

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：S401 / S410

页数：10

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