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

被引：7
|
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
收藏
页码：1571 / 1588
页数：18
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