[图书][B] Fuzzy differential equations and applications for engineers and scientists

S Chakraverty, S Tapaswini, D Behera - 2016 - taylorfrancis.com
Differential equations play a vital role in the modeling of physical and engineering problems,
such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other …

A systematic review on the advancement in the study of fuzzy variational problems

M Verma, CY Chen, A Kılıçman… - Journal of Function …, 2022 - Wiley Online Library
The study of fuzzy variational problems has received significant attention over the past
decade due to its successful applications in numerous fields, such as image segmentation …

Vibration analysis of single-link flexible manipulator in an uncertain environment

P Rao, D Roy, S Chakraverty - Journal of Vibration Engineering & …, 2024 - Springer
Purpose The real-time dynamics of the single-link flexible manipulator is a challenging
problem due to its inherent instability and in situ vibration. In order to add the criticalities to …

[图书][B] Modeling and control of uncertain nonlinear systems with fuzzy equations and Z-number

W Yu, R Jafari - 2019 - books.google.com
An original, systematic-solution approach to uncertain nonlinear systems control and
modeling using fuzzy equations and fuzzy differential equations There are various numerical …

Fuzzy sawi decomposition method for solving nonlinear partial fuzzy differential equations

A Georgieva, A Pavlova - Symmetry, 2021 - mdpi.com
The main goal of this paper is to propose a new decomposition method for finding solutions
to nonlinear partial fuzzy differential equations (NPFDE) through the fuzzy Sawi …

Propagation of uncertainty in free vibration of Euler–Bernoulli nanobeam

SK Jena, S Chakraverty, RM Jena - Journal of the Brazilian Society of …, 2019 - Springer
Abstract In this paper, Euler–Bernoulli nanobeam based on the framework of Eringen's
nonlocal theory is modeled with material uncertainties where the uncertainties are …

Vibration analysis of single-link robotic manipulator by polynomial based Galerkin method in uncertain environment

P Rao, S Chakraverty, D Roy - Polynomial Paradigms: Trends …, 2022 - iopscience.iop.org
In the field of robotics, a single-link manipulator has many applications. The exact solution of
the equations associated with such single-link manipulator may not always exist. To deal …

Homotopy analysis method analytical scheme for developing a solution to partial differential equations in fuzzy environment

SA Altaie, N Anakira, A Jameel, O Ababneh… - Fractal and …, 2022 - mdpi.com
Partial differential equations are known to be increasingly important in today's research, and
their solutions are paramount for tackling numerous real-life applications. This article …

[HTML][HTML] A differential quadrature-based approach à la Picard for systems of partial differential equations associated with fuzzy differential equations

JE Macías-Díaz, S Tomasiello - Journal of Computational and Applied …, 2016 - Elsevier
Departing from a numerical method designed to solve ordinary differential equations, in this
manuscript we extend such approach to solve problems involving fuzzy partial differential …

Euler-based new solution method for fuzzy initial value problems

S Tapaswini, S Chakraverty - International Journal of …, 2014 - inderscienceonline.com
This paper targets to investigate the numerical solution of linear, non-linear and system of
ordinary differential equations with fuzzy initial condition. Here, two Euler type methods have …