Efficient method for solving variable-order pantograph models

被引：0

作者：

Sohail, Muhammad ^{[1
]}

Alrabaiah, Hussam ^{[2
,3
]}

Ali, Umair ^{[1
]}

Zohra, Fatema Tuz ^{[4
]}

Selim, Mahmoud M. ^{[5
,6
]}

Thounthong, Phatiphat ^{[7
]}

机构：

[1] Inst Space Technol, Dept Appl Math & Stat, POB 2750, Islamabad 44000, Pakistan

[2] Al Ain Univ, Coll Engn, Al Ain, U Arab Emirates

[3] Tafila Tech Univ, Dept Math, Tafila, Jordan

[4] Amer Int Univ, Fac Sci & Technol, Dept Math, Dhaka 1229, Bangladesh

[5] Prince Sattam Bin Abdulaziz Univ, Al Aflaj Coll Sci & Humanities Studies, Dept Math, Al Aflaj 71011912, Saudi Arabia

[6] Suez Univ, Suez Fac Sci, Dept Math, Suez 34891, Egypt

[7] King Mongkuts Univ Technol North Bangkok, Fac Tech Educ, Renewable Energy Res Ctr, Dept Teacher Training Elect Engn, 1518 Pracharat 1 Rd, Bangkok 10800, Thailand

来源：

PRAMANA-JOURNAL OF PHYSICS | 2021年 / 95卷 / 04期

关键词：

Fractional pantograph delay differential equations with variable-order; fractional pantograph Volterra delay integro-differential equations with variable-order; shifted fractional Gegenbauer polynomials; operational matrices; collocation method; 02; 60; -x; 70; Jn; 90; +p; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION;

D O I：

10.1007/s12043-021-02218-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper shows how to solve variable-order pantograph-delay differential equations (VO-PDDEs) and variable-order pantograph Volterra delay integro-differential equations (VO-VDIDEs) using shifted fractional Gegenbauer operational matrices (SFGOMs) of differentiation and integration in conjunction with the spectral collocation method. In these equations, the fractional derivatives of variable order are represented in the Caputo sense. As a result of the proposed method, the considered problems are translated into an easy-to-solve system of algebraic equations. The proposed technique's error bound is examined. To demonstrate the utility of the proposed method, numerical test problems are introduced and compared with other numerical methods in the existing literature.

引用

页数：12

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