Fractional-order Chelyshkov wavelet method for solving variable-order fractional differential equations and an application in variable-order fractional relaxation system

被引：8

作者：

Ngo, Hoa T. B. ^{[1
]}

Razzaghi, Mohsen ^{[2
]}

Vo, Thieu N. ^{[1
]}

机构：

[1] Ton Duc Thang Univ, Fac Math & Stat, Fract Calculus Optimizat & Algebra Res Grp, Ho Chi Minh City, Vietnam

[2] Mississippi State Univ, Dept Math & Stat, Starkville, MS USA

来源：

NUMERICAL ALGORITHMS | 2023年 / 92卷 / 03期

关键词：

Fractional-order; Chelyshkov wavelet; Variable-order; Fractional differential equation; Relaxation system; NUMERICAL-SOLUTION; DIFFUSION; EXISTENCE; ALGORITHM; MEMORY;

D O I：

10.1007/s11075-022-01354-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an efficient numerical approach to solve variable-order fractional differential equations (VO-FDEs) by applying fractional-order generalized Chelyshkov wavelets (FOGCW). The beta function is used to determine the exact value for the Riemann-Liouville fractional integral operator of the FOGCW. The exact value and the given wavelets are used to solve the VO-FDEs. Six examples are included to demonstrate the effectiveness of this method. In the last example, we show the application of our method to the variable-order fractional relaxation model.

引用

页码：1571 / 1588

页数：18

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