Operational matrix for Atangana-Baleanu derivative based on Genocchi polynomials for solving FDEs

被引:51
作者
Sadeghi, S. [1 ]
Jafari, H. [1 ,2 ]
Nemati, S. [1 ]
机构
[1] Univ Mazandaran, Dept Math, Babol Sar, Iran
[2] Univ South Africa, Dept Math Sci, UNISA, ZA-0003 Pretoria, South Africa
关键词
Atangana-Baleanu derivative; Operational matrix; Non-singular kernel; Mittag-Leffler function; Genocchi polynomials; BURGERS-TYPE EQUATIONS; COMPOUND KDV-TYPE; NONLINEAR TERMS; WAVE SOLUTIONS;
D O I
10.1016/j.chaos.2020.109736
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, Atangana and Baleanu have defined a new fractional derivative which has a nonlocal and nonsingular kernel. It is called the Atangana-Baleanu derivative. In this paper we present a numerical technique to obtain solution of fractional differential equations containing Atangana-Baleanu derivative. For this purpose, we use the operational matrices based on Genocchi polynomials together with the collocation points which help us to reduce the problem to a system of algebraic equations. An error bound for the error of the operational matrix of the fractional derivative is introduced. Finally, some examples are given to illustrate the applicability and efficiency of the proposed method. (C) 2020 Elsevier Ltd. All rights reserved.
引用
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页数:6
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