Numerical Solutions for Multi-Term Fractional Order Differential Equations with Fractional Taylor Operational Matrix of Fractional Integration

被引：14
作者：
Avci, Ibrahim [1 ]
Mahmudov, Nazim I. [1 ]
机构：
[1] Eastern Mediterranean Univ, Dept Math, Via Mersin 10, TR-99628 Famagusta, Turkey
来源：
MATHEMATICS | 2020年 / 8卷 / 01期
关键词：
fractional differential equations; numerical solutions; Riemann-Liouville fractional integral; Caputo fractional derivative; fractional Taylor vector; PREDICTOR-CORRECTOR APPROACH;
D O I：
10.3390/math8010096
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we propose a numerical method based on the fractional Taylor vector for solving multi-term fractional differential equations. The main idea of this method is to reduce the given problems to a set of algebraic equations by utilizing the fractional Taylor operational matrix of fractional integration. This system of equations can be solved efficiently. Some numerical examples are given to demonstrate the accuracy and applicability. The results show that the presented method is efficient and applicable.
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页数：24
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