Computationally semi-numerical technique for solving system of intuitionistic fuzzy differential equations with engineering applications

M Shams, N Kausar, S Kousar… - Advances in …, 2022 - journals.sagepub.com
Some complex problems in science and engineering are modeled using fuzzy differential
equations. Many fuzzy differential equations cannot be solved by using exact techniques …

[PDF][PDF] First order homogeneous ordinary differential equation with initial value as triangular intuitionistic fuzzy number

SP Mondal, TK Roy - Journal of Uncertainty in Mathematics …, 2014 - researchgate.net
In this paper first order homogeneous ordinary differential equation is described in
intuitionistic fuzzy environment. Here initial condition of the said differential equation is …

System of differential equation with initial value as triangular intuitionistic fuzzy number and its application

SP Mondal, TK Roy - International Journal of Applied and Computational …, 2015 - Springer
In this paper, we solve a system of differential equation of first order with initial value as
triangular intuitionistic fuzzy number. Two different cases are discussed:(i) coefficient is …

Techniques for finding analytical solution of generalized fuzzy differential equations with applications

M Shams, N Kausar, N Yaqoob, N Arif, GM Addis - Complexity, 2023 - Wiley Online Library
Engineering and applied mathematics disciplines that involve differential equations include
classical mechanics, thermodynamics, electrodynamics, and general relativity. Modelling a …

Semi-analytical scheme for solving intuitionistic fuzzy system of differential equations

M Shams, N Kausar, K Alayyash, MM Al-Shamiri… - IEEE …, 2023 - ieeexplore.ieee.org
The aim of this article is to implement the Generalized Modified Adomian Decomposition
Method to compute the semi-numerical solution of the linear system of intuitionistic fuzzy …

Generalized intuitionistic fuzzy Laplace transform and its application in electrical circuit

SP Mondal, TK Roy - TWMS Journal of Applied and Engineering …, 2015 - dergipark.org.tr
In this paper we describe the generalized intuitionistic fuzzy laplace transform method for
solving first order generalized intutionistic fuzzy differential equation. The procedure is …

Solving fuzzy -dimensional Burgers' equation

M Osman, Z Gong, AM Mustafa, H Yang - Advances in Difference …, 2021 - Springer
In this paper, we study the comparison of fuzzy differential transform method (FDTM), fuzzy
Adomian decomposition method (FADM), fuzzy homotopy perturbation method (FHPM), and …

Approximate solution of intuitionistic fuzzy differential equations with the linear differential operator by the homotopy analysis method

S Melliani, Z Belhallaj, M Elomari… - Advances in Fuzzy …, 2021 - Wiley Online Library
In this work, the purpose is to discuss the homotopy analysis method (HAM) for the use of
intuitionistic fuzzy differential equations with the linear differential operator. Furthermore, a …

Contra-hormonic generalized fuzzy numerical scheme for solving mechanical engineering problems

N Kausar, H Garg - Journal of Applied Mathematics and Computing, 2024 - Springer
Differential equations are employed in a variety of engineering and applied mathematics
fields, including mechanics, thermodynamics, and general relativity. It is occasionally …

The existence and uniqueness of intuitionistic fuzzy solutions for intuitionistic fuzzy partial functional differential equations

B Ben Amma, S Melliani… - International Journal of …, 2019 - Wiley Online Library
In this paper, we consider intuitionistic fuzzy partial functional differential equations with
local and nonlocal initial conditions using the Banach fixed point theorem. A new complete …