Approximation of sequential fractional systems of Liouville-Caputo type by discrete delta difference operators

被引：10

作者：

Almusawa, Musawa Yahya ^{[1
]}

Mohammed, Pshtiwan Othman ^{[2
]}

机构：

[1] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia

[2] Univ Sulaimani, Coll Educ, Dept Biol, Sulaimani 46001, Kurdistan Regio, Iraq

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 176卷

关键词：

Discrete fractional calculus; Liouville-Caputo fractio n a l operator s; Sequential fractional systems; CALCULUS;

D O I：

10.1016/j.chaos.2023.114098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the Liouville-Caputo fractional difference method for the numerical evolution of the sequential differential equation of fractional order. Meanwhile, some binomial coefficients are considered in discrete fractional calculus to find and determine the corresponding sequence of continuous fractional order equations. Finally, a standard numerical test is offered in detai l to demonstrate the validity of the main theorem.

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页数：6

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