Results 61 to 70 of about 769,045 (151)

Approximate Limit, Approximate Derivative, and Approximate Integral for Fuzzy‐Number‐Valued Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces the concepts of approximate limit, approximate continuity, and approximate derivatives for fuzzy‐number‐valued functions and examines their fundamental properties. Also, the relationships between approximate limit, approximate derivative of fuzzy‐number‐valued functions, and their representations of λ‐level sets are investigated ...
Chao Ma, Zengtai Gong, Yabin Shao, Ömer Kişi   +3 more
wiley   +1 more source

Numerical simulation of fuzzy differential equations using general linear method and B-series

Advances in Mechanical Engineering, 2017
In this article, numerical simulation of fuzzy differential equations using general linear method is proposed. The significance of general linear method is derivation of algebraic order conditions of method using technique of rooted trees and B-series ...
Faranak Rabiei, Fatin Abd Hamid, Mohammad M Rashidi, Fudziah Ismail   +3 more
doaj   +1 more source

Refinements of the Jensen Inequality and Estimates of the Jensen Gap Based on Interval‐Valued Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.
ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley   +1 more source

An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper investigates the Fuzzy Adomian Decomposition Method to find approximate analytical solutions for linear and nonlinear fuzzy Darboux problems using the Caputo‐type mixed fractional derivative, which plays an important role in applied and engineering sciences. The solutions are formulated as series with easily calculable terms.
Nagwa A. Saeed, Deepak B. Pachpatte, Elena Kaikina   +2 more
wiley   +1 more source

Fractional order ecological system for complexities of interacting species with harvesting threshold in imprecise environment

Advances in Difference Equations, 2019
The key objective of this paper is to study the imprecise biological complexities in the interaction of two species pertaining to harvesting threshold. It is explained by taking the prey–predator model with imprecise biological parameters and fractional ...
Najeeb Alam Khan, Oyoon Abdul Razzaq, Sankar Parsad Mondal, Qammar Rubbab   +3 more
doaj   +1 more source

A New Continuous-Discrete Fuzzy Model and Its Application in Finance

Mathematics, 2020
In this paper, we propose a fuzzy differential-difference equation for modeling of mixed continuous-discrete phenomena. In the special case, we present the general solution of linear fuzzy differential-difference equations.
Hoang Viet Long, Haifa Bin Jebreen, Y. Chalco-Cano   +2 more
doaj   +1 more source

Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable‐Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan, Saleem Abdullah, Samuel Okyere, Bikash Koli Dey   +3 more
wiley   +1 more source

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +2 more
wiley   +1 more source

Advanced Mathematical Modeling of Woolen Knitting Dynamics Using Laplace Transform and Fourth‐Order Runge–Kutta Method

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The knitting of wool is a complicated textile process that is driven by nonlinear interactions of yarn tension, loop creation, and needle dynamics. These interactions have a considerable impact on the quality of the fabric as well as the efficiency with which it is produced.
Suresh Kumar Sahani, Sai Kiran Oruganti, K. Satishkumar, R. U. Gobithaasan   +3 more
wiley   +1 more source

On the policy function in continuos time economic models [PDF]

, 1991
In this paper, I consider a general class of continuous-time economic models with unbounded horizon. I study the sets of conditions under which the policy function is continuous, Lipschitz continuous, and Cl differentiable.
Santos, Manuel S.
core   +1 more source