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

Mitali Routaray, Prakash Kumar Sahu and Dimplekumar Navinchandra Chalishajar ()
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Mitali Routaray: Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar 751024, India
Prakash Kumar Sahu: Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar 751024, India
Dimplekumar Navinchandra Chalishajar: Department of Applied Mathematics, Mallory Hall, Virginia Military Institute (VMI), Lexington, VA 24450, USA

Mathematics, 2023, vol. 11, issue 18, 1-15

Abstract: 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.

Keywords: integro-differential equations; fuzzy differential transform method; fuzzy integral equation; fuzzy calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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