NUMERICAL SOLUTION OF FRACTIONAL VOLTERRA INTEGRAL EQUATIONS BASED ON RATIONAL CHEBYSHEV APPROXIMATION

被引：3

作者：

Deniz, S. ^{[1
]}

Ozger, F. ^{[2
]}

Ozger, Z. O. ^{[3
]}

Mohiuddine, S. A. ^{[4
,5
]}

Ersoy, M. T. ^{[6
]}

机构：

[1] Manisa Celal Bayar Univ, Fac Art & Sci, Dept Math, TR-45140 Manisa, Turkiye

[2] Igdir Univ, Dept Comp Engn, TR-76000 Igdir, Turkiye

[3] Igdir Univ, Dept Software Engn, TR-76000 Igdir, Turkiye

[4] King Abdulaziz Univ, Fac Appl Studies, Dept Gen Required Courses, Math, Jeddah 21589, Saudi Arabia

[5] King Abdulaziz Univ, Fac Sci, Operator Theory & Applicat Res Grp, Dept Math, Jeddah 21589, Saudi Arabia

[6] Istanbul Topkapi Univ, Fac Engn, Dept Software Engn, Istanbul, Turkiye

来源：

MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 03期

关键词：

fractional integral equations; rational Chebyshev functions; numerical scheme; POLYNOMIAL SOLUTIONS;

D O I：

10.18514/MMN.2023.4291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We aim to give the numerical method for solving the fractional Volterra integral equations of first and second kinds. We here use the techniques based upon rational Chebyshev functions and Riemann-Liouville fractional integrals. Some illustrative experiments with a view of estimating error and graphics are given in order to show the validity and applicability of the technique. Our experiments show that the new technique has high accuracy and is very efficient when compare to the other approaches existing in literature.

引用

页码：1287 / 1305

页数：19

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