Results 41 to 50 of about 1,042,198 (135)

ℎ-Stability of set differential equations [PDF]

Archives of Control Sciences
In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory.
Sihem Boukthir, Boulbaba Ghanmi, Imed Basdouri, Dalil Ichalal, Jean Lerbet   +4 more
doaj   +1 more source

Bipolar Fuzzy Solution of the Bipolar Fuzzy Wave Equation Using Bipolar Fuzzy Fourier Sine Transform Under GH‐Differentiability

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The bipolar fuzzy wave equation is crucial for modeling wave phenomena in systems characterized by dual uncertainty involving both positive and negative aspects of imprecise information. This study presents an innovative analytical framework for solving bipolar fuzzy wave equations using bipolar fuzzy Fourier sine transform under generalized Hukuhara ...
Muhammad Bilal, Uzma Ahmad, Ghulam Muhammad, Hamed Alsulami, Shikha Binwal   +4 more
wiley   +1 more source

Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative

Cubo
The article explores a linear set-valued differential equation featuring both conformable fractional and generalized conformable fractional derivatives.
Tatyana A. Komleva, Andrej V. Plotnikov, Natalia V. Skripnik   +2 more
doaj   +1 more source

Existence and Uniqueness of Solutions to Initial Value Problems of High‐Order Fractional Fuzzy Differential Equations

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
High‐order fractional fuzzy differential equations show great potential in modeling complex systems with memory effects and uncertainty. Existing qualitative theories seldom involve both Caputo‐type strongly generalized Hukuhara differentiability and coupled integral operators on infinite intervals. This paper presents a systematic investigation of the
Yanli Xi, Wenbin Bao, Mohammad Rezwan Habib   +2 more
wiley   +1 more source

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

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

L-Fuzzy fixed point results in ℱ -metric spaces with applications

Demonstratio Mathematica
Jleli and Samet in [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), 128 (20 pages)] introduced the notion of ℱ -metric space as a generalization of traditional metric space and proved Banach contraction principle in the ...
Lateef Durdana
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

Generalized Hukuhara diamond-alpha derivative of fuzzy valued functions on time scales

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
In the literature, the delta and nabla derivatives have been considered separately in the study of fuzzy number valued functions on time scales. In this paper, to unify these two derivatives for fuzzy number valued functions, we propose a new dynamic derivative called the diamond-alpha derivative, defined via the generalized Hukuhara difference.
Selami Bayeğ, Raziye Mert
openaire   +2 more sources

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