Approximate solutions of fuzzy delay integral equations with weakly singular kernels by piecewise fuzzy polynomial interpolation

被引：0

作者：

Deng, Ting ^{[1
]}

Huang, Jin ^{[1
]}

Liu, Hongyan ^{[2
]}

Li, Hu ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Guizhou Univ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China

[3] Chengdu Normal Univ, Sch Math, Chengdu 611130, Sichuan, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2023年 / 470卷

基金：

中国国家自然科学基金;

关键词：

Piecewise fuzzy polynomial interpolation; Fuzzy delay integral equations; Weakly singular kernels; Existence and uniqueness of solution; Convergence analysis; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; COLLOCATION METHODS; ORDER; HYBRID;

D O I：

10.1016/j.fss.2023.108652

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a piecewise fuzzy polynomial interpolation method is proposed to approximate the solutions of fuzzy delay integral equations with weakly singular kernels. Firstly, the existence and uniqueness of the solutions of these fuzzy delay integral equations are proved by using the Gronwall inequality and an iterative method. Then, the fuzzy weakly singular delay integral equations are discretized into related algebraic equations by using piecewise fuzzy polynomial interpolation and the fuzzy Gauss-Jacobi quadrature formula. Moreover, the convergence of the numerical method is investigated and an error estimate is provided. Finally, the accuracy and efficiency of the proposed method are verified by some numerical experiments. & COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：17

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