Results 51 to 60 of about 320,166 (174)

Averaging of controlled equations with the Hukuhara derivative

, 2006
Наведено обґрунтування методу усереднення для керованих лiнiйних диференцiальних рiвнянь iз загаюванням iз похiдною Хукухари.We give a substantiation of the averaging method for controlled linear differential equations with Hukuhara derivative and ...
Кичмаренко, О.Д., Плотников, В.А.   +1 more
core   +1 more source

Numerical Solution of Neutrosophic Fuzzy Schrödinger Equation Using Modified Finite Difference Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, a comprehensive study of the fuzzification and defuzzification of the Schrödinger equation in fuzzy neutrosophic environment is presented involving fuzzy truth (T) component, an indeterminacy (I) component, and a falsehood (F) component. Moreover, a modified numerical method of second‐order accuracy in both time and space based on Crank ...
Hamzeh Zureigat, Retaj Maabreh, Smritijit Sen   +2 more
wiley   +1 more source

Existence of basic solutions of first order linear homogeneous set-valued differential equations

Математичні Студії
The paper presents various derivatives of set-valued mappings, their main properties and how they are related to each other. Next, we consider Cauchy problems with linear homogeneous set-valued differential equations with different types of derivatives ...
A. V. Plotnikov, T. A. Komleva, N. V. Skripnik   +2 more
doaj   +1 more source

A Comprehensive Study on Exact and Numerical Methods for Solving the Neutrosophic Fuzzy Advection–Diffusion Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, an in‐depth study of the advection–diffusion equation in a neutrosophic fuzzy environment is discussed for the first time in the literature, including truth (T), indeterminacy (I), and falsehood (F) fuzzy components. Furthermore, analytical and numerical methods that are Galilean transformation and explicit finite difference methods ...
Hamzeh Zureigat, Sameer Bawaneh, Areen Al-Khateeb, Nariman Nusairat, Smritijit Sen   +4 more
wiley   +1 more source

Multivalued second order differential problem

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2012
Let $K$ be a closed convex cone with nonempty interior in a real Banach space and let $F,G,Hcolon K o cc(K)$ be three given continuous additive set-valued functions.
Ewelina Mainka-Niemczyk
doaj  

On Hermite–Hadamard Inequalities for Generalized Quantum Interval Calculus

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop the theory of β,gH‐calculus for interval‐valued functions by combining the β‐functions with the generalized Hukuhara difference. Within this framework, we establish various properties related to β,gH‐differentiation and β,gH‐integration.
Muhammad Umer Azam, Awais Younus, Muhammad Asif, Cemil Tunç, Smritijit Sen   +4 more
wiley   +1 more source

A new concept of differentiability for interval-valued functions [PDF]

Surveys in Mathematics and its Applications, 2019
In this paper we propose a new concept of differentiability for interval-valued functions. This concept is based on the properties of the Hausdorff-Pompeiu metric and avoids using the generalized Hukuhara difference.
Vasile Lupulescu, Donal O'Regan
doaj  

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

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