Numerical solutions of fractional delay differential equations using Chebyshev wavelet method

被引:0
作者
Umar Farooq
Hassan Khan
Dumitru Baleanu
Muhammad Arif
机构
[1] Abdul Wali Khan University Mardan (AWKUM),Department of Mathematics
[2] Cankaya University,Department of Mathematics, Faculty of Arts and Sciences
[3] Institute of Space Sciences,undefined
来源
Computational and Applied Mathematics | 2019年 / 38卷
关键词
Fractional-order differential equations; Chebyshev wavelet method; Caputo operator; 65L05;
D O I
暂无
中图分类号
学科分类号
摘要
In the present research article, we used a new numerical technique called Chebyshev wavelet method for the numerical solutions of fractional delay differential equations. The Caputo operator is used to define fractional derivatives. The numerical results illustrate the accuracy and reliability of the proposed method. Some numerical examples presented which have shown that the computational study completely supports the compatibility of the suggested method. Similarly, a proposed algorithm can also be applied for other physical problems.
引用
收藏
相关论文
共 120 条
[1]  
Abu Arqub O(2018)Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space Numer Methods Partial Differ Equ 34 1759-1780
[2]  
Abu Arqub O(2018)Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions Numer Methods Partial Differ Equ 34 1577-1597
[3]  
Al-Smadi M(1984)Bettering operation of robots by learning J Rob Syst 1 123-140
[4]  
Arimoto S(2018)Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space Chaos Solitons Fractals 117 161-167
[5]  
Kawamura S(2018)Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator Chaos Solitons Fractals 117 117-124
[6]  
Miyazaki F(2012)Application of fractional calculus in statistics Int. J. Contemp. Math. Sci. 7 849-856
[7]  
Arqub OA(2013)Electro-chemical manifestation of nanoplasmonics in fractal media Open Phys. 11 676-684
[8]  
Al-Smadi M(2011)A predictor-corrector scheme for solving nonlinear delay differential equations of fractional order J. Fract. Calc. Appl. 1 1-9
[9]  
Arqub OA(2015)A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations J. Comput. Phys. 281 876-895
[10]  
Maayah B(2010)The variational iteration method for solving a neutral functional-differential equation with proportional delays Comput. Mathe. Appl. 59 2696-2702