A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations

被引：0
|
作者：
Do, Quan H. [1 ]
Ngo, Hoa T.B. [2 ]
Razzaghi, Mohsen [3 ]
机构：
[1] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
[2] Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
[3] Department of Mathematics and Statistics, Mississippi State University, Mississippi State,MS39762, United States
来源：
Communications in Nonlinear Science and Numerical Simulation | 2021年 / 95卷
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中图分类号：
O172 [微积分];
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摘要：
We provide a new effective method for the two-dimensional distributed-order fractional differential equations (DOFDEs). The technique is based on fractional-order Chebyshev wavelets. An exact formula involving regularized beta functions for determining the Riemann-Liouville fractional integral operator of these wavelets is given. The given wavelets and this formula are utilized to find the solutions of the given two-dimensional DOFDEs. The method gives very accurate results. The given numerical examples support this claim. © 2020
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