Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations

被引：0

作者：

Zaky, M. A. ^{[1
]}

Babatin, M. ^{[1
]}

Hammad, M. ^{[2
]}

Akgul, A. ^{[3
,4
]}

Hendy, A. S. ^{[5
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia

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

[3] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye

[4] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

[5] Ural Fed Univ, Inst Nat Sci & Math, Dept Computat Math & Comp Sci, 19 Mira St, Ekaterinburg 620002, Russia

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 06期

关键词：

mapped Jacobi functions; spectral methods; convergence analysis; pantograph delay differential equations;

D O I：

10.3934/math.2024740

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Caputo-Hadamard-type fractional calculus involves the logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenges in numerical approximations. In this paper, we construct and analyze a spectral collocation approach using mapped Jacobi functions as basis functions and construct an efficient algorithm to solve systems of fractional pantograph delay differential equations involving Caputo-Hadamard fractional derivatives. What we study is the error estimates of the derived method. In addition, we tabulate numerical results to support our theoretical analysis.

引用

页码：15246 / 15262

页数：17

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