Operational matrix method for solving fractional weakly singular 2D partial Volterra integral equations

被引：10
|
作者：
Zamanpour, I. [1 ]
Ezzat, R. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 419卷
关键词：
Fractional calculus; Operational matrix; Two-dimensional triangular functions; Weakly singular two-dimensional integral equations; Partial Volterra integral equations; NUMERICAL-SOLUTION; INTEGRODIFFERENTIAL EQUATIONS; TRIANGULAR FUNCTIONS;
D O I：
10.1016/j.cam.2022.114704
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main objective of the present study is to develop the operational matrix for fractional integration. In order to find the numerical solution of non-linear fractional weakly singular two-dimensional partial Volterra integral equations, the operational matrix of the fractional integration of triangular functions was used. By presenting the findings in the form of figures and tables, a deeper investigation and explanation of the proposed approach was provided. In addition, the numerical results show the high reliability and accuracy of the proposed method. (C) 2022 Elsevier B.V. All rights reserved.
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页数：14
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