Chebyshev spectral methods for multi-order fractional neutral pantograph equations

被引：49

作者：

Ezz-Eldien, S. S. ^{[1
,2
,3
]}

Wang, Y. ^{[1
]}

Abdelkawy, M. A. ^{[4
,5
]}

Zaky, M. A. ^{[6
]}

Aldraiweesh, A. A. ^{[2
]}

Machado, J. Tenreiro ^{[7
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

[2] King Saud Univ, Coll Educ, Riyadh, Saudi Arabia

[3] New Valley Univ, Fac Sci, Dept Math, El Kharga 72511, Egypt

[4] Al Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[5] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt

[6] Natl Res Ctr, Dept Appl Math, Giza 12622, Egypt

[7] Polytech Porto, Dept Elect Engn, Inst Engn, Rua Dr Antonio Bernardino Almeida 431, P-4249015 Porto, Portugal

来源：

NONLINEAR DYNAMICS | 2020年 / 100卷 / 04期

关键词：

Fractional differential equations; Pantograph equations; Spectral methods; OPERATIONAL MATRIX; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; GROWTH;

D O I：

10.1007/s11071-020-05728-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper is concerned with the application of the spectral tau and collocation methods to delay multi-order fractional differential equations with vanishing delayrx(0<r<1)The fractional derivatives are described in the Caputo sense. The model solution is expanded in terms of Chebyshev polynomials. The convergence of the proposed approaches is investigated in the weightedL2-norm. Numerical examples are provided to highlight the convergence rate and the flexibility of this approach. Our results confirm that nonlocal numerical methods are best suited to discretize fractional differential equations as they naturally take the global behavior of the solution into account.

引用

页码：3785 / 3797

页数：13

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