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

共 50 条

[21] A method for the numerical solution of the integro-differential equations
Darania, P.
Ebadian, Ali
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 657 - 668
[22] Series Solution of the System of Integro-Differential Equations
Abbasbandy, Saeid
Shivanian, Elyas
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (12): : 811 - 818
[23] Asymptotic solution of a system of integro-differential equations
G. V. Zavizion
Ukrainian Mathematical Journal, 1997, 49 (12) : 1819 - 1826
[24] Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics
S. I. Bezrodnykh
N. M. Gordeeva
Mathematical Notes, 2023, 114 : 704 - 715
[25] Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics
Bezrodnykh, S. I.
Gordeeva, N. M.
MATHEMATICAL NOTES, 2023, 114 (5-6) : 704 - 715
[26] Analytical solution of systems of Volterra integro-differential equations using modified differential transform method
Al-Ahmad, Shadi
Sulaiman, Ibrahim Mohammed
Nawi, Mohamad Arif Awang
Mamat, Mustafa
Ahmad, Muhammad Zaini
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 26 (01): : 1 - 9
[27] Simulation and evaluation of system of fuzzy linear Fredholm integro-differential equations with fuzzy neural network
Mosleh, Maryam
Otadi, Mahmood
NEURAL COMPUTING & APPLICATIONS, 2019, 31 (08): : 3481 - 3491
[28] Simulation and evaluation of system of fuzzy linear Fredholm integro-differential equations with fuzzy neural network
Maryam Mosleh
Mahmood Otadi
Neural Computing and Applications, 2019, 31 : 3481 - 3491
[29] A semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivative
Suvankar Biswas
Tapan Kumar Roy
Soft Computing, 2019, 23 : 7959 - 7975
[30] A semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivative
Biswas, Suvankar
Roy, Tapan Kumar
SOFT COMPUTING, 2019, 23 (17) : 7959 - 7975

← 1 2 3 4 5 →