SHIFTED GEGENBAUER-GAUSS COLLOCATION METHOD FOR SOLVING FRACTIONAL NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH PROPORTIONAL DELAYS

被引：18

作者：

Hafez, R. M. ^{[1
]}

Youssri, Y. H. ^{[2
]}

机构：

[1] Matrouh Univ, Fac Educ, Dept Math, Matrouh, Egypt

[2] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 06期

关键词：

Neutral fractional functional-differential equations; proportional delay; collocation method; shifted Gegenbauer-Gauss quadrature; shifted Gegenbauer polynomials; INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION; CALCULUS; ORDER;

D O I：

10.46793/KgJMat2206.981H

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the shifted Gegenbauer-Gauss collocation (SGGC) method is applied to fractional neutral functional-differential equations with proportional delays. The technique we have used is based on shifted Gegenbauer polynomials and Gauss quadrature integration. The shifted Gegenbauer-Gauss method reduces solving the generalized fractional pantograph equation fractional neutral functional-differential equations to a system of algebraic equations. Reasonable numerical results are obtained by selecting few shifted Gegenbauer-Gauss collocation points. Numerical results demonstrate its accuracy, and versatility of the proposed techniques.

引用

页码：981 / 996

页数：16

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