The Fuzzy Differential Transform Method for the Solution of the System of Fuzzy Integro-Differential Equations Arising in Biological Model

被引：4

作者：

Routaray, Mitali ^{[1
]}

Sahu, Prakash Kumar ^{[1
]}

Chalishajar, Dimplekumar Navinchandra ^{[2
]}

机构：

[1] KIIT Univ, Sch Appl Sci, Dept Math, Bhubaneswar 751024, India

[2] Virginia Mil Inst VMI, Dept Appl Math, Mallory Hall, Lexington, VA 24450 USA

来源：

MATHEMATICS | 2023年 / 11卷 / 18期

关键词：

integro-differential equations; fuzzy differential transform method; fuzzy integral equation; fuzzy calculus; INTEGRAL-EQUATIONS; WAVELET METHOD;

D O I：

10.3390/math11183840

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the implementation of fuzzy differential transform method for solving a system of nonlinear fuzzy integro-differential equations. This system appears in a model of biological species living together. Though the differential transform method is an iterative method, the current approach reduces this model to a set of nonlinear algebraic equations due to its delay terms. The basic definitions and theorems are first presented. The applicability and accuracy of the current methodologies have been demonstrated through the discussion of a few exemplary situations.

引用

页数：15

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