Results 51 to 60 of about 769,045 (151)

Directional Differentiability of the Generalized Metric Projection in Banach Spaces [PDF]

open access: yes, 2023
Let X be a real uniformly convex and uniformly smooth Banach space and C a nonempty closed and convex subset of X. In this paper, we consider the generalized metric projection operator from X to C, which was introduced by Alber in 1996.
Li, Jinlu
core   +1 more source

Analytical Solution of Linear Second-Order Non-Homogeneous ‎Fuzzy Partial Differential Equations Using The Fuzzy Sumudu ‎Transform Under Generalized Hukuhara Differentiability

open access: yesInternational Journal of Basic and Applied Sciences
In this paper, a linear second-order non-homogeneous fuzzy partial differential equation (FPDE) is constructed, and the Fuzzy Sumudu ‎Transform (FST) method is applied to solve FPDEs within the context of generalized Hukuhara(gH) differentiability ...
Mary Basumatary, Sahalad Borgoyary
semanticscholar   +1 more source

Note on ''Generalized Hukuhara differentiability of interval-valued functions and interval differential equations''

open access: yes, 2012
There are some mistakes in one of the papers of Luciano Stefanini and Barnabas Bede . In this article we are going to show that the case $(ii)$ of proposition 24 in is incorrect. The corrected form is proposed in details.
T. Allahviranloo, S. Gholami
semanticscholar   +1 more source

Continuous Differentiability in the Context of Generalized Approach to Differentiability

open access: yes, 2023
Recently, in their paper, the authors generalized the notion of differentiability by defining it for all points of the functional domain (not only interior points) in which the notion of differentiability can be considered meaningful.
Nikola Koceić-Bilan, Snježana Braić
core   +1 more source

Expansion of Generalized Hukuhara Differentiable Interval Valued Function [PDF]

open access: yesNew Mathematics and Natural Computation, 2019
In this paper, the concept of [Formula: see text]-monotonic property of interval valued function in higher dimension is introduced. Expansion of interval valued function in higher dimension is developed using this property.
Priyanka Roy, G. Panda
semanticscholar   +1 more source

New variants of fuzzy optimal control problems

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 116-123, January 2026.
Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus   +3 more
wiley   +1 more source

A Solution of an Intuitionistic Fuzzy Time‐Fractional Diffusion Equation Using a Modified Explicit Finite Difference Scheme

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The utilization of fuzzy fractional partial differential equations has turned into a practical tool for modeling real‐life phenomena because they offer a compact framework for modeling complex phenomena with uncertainty, providing insights and reflecting on systems that classical models cannot adequately get.
Hamzeh Zureigat   +4 more
wiley   +1 more source

A Review of Pompeiu-Hausdorff Metric Differentiability and Its Relation to Generalized Hukuhara Differentiability

open access: yesCAUCHY
The Pompeiu-Hausdorff distance/Pompeiu-Hausdorff metric is a concept in analysis that measures the distance between two subsets of a metric space, one of its important applications being the Hausdorff metric differentiability of set-valued functions ...
W. Putra, Mohamad Muslikh
semanticscholar   +1 more source

Extension of the Fuzzy Laplace Transform Method for Solving Higher-Order Nonlinear Fuzzy Ordinary Differential Equations under Generalized Hukuhara Differentiability

open access: yesUMYU Scientifica
Higher-order nonlinear fuzzy ordinary differential equations (FODEs) arise in many real-world systems where uncertainty and imprecision are inherent, such as engineering processes, biological models, and economic dynamics.
Habibu Hassan, A. V. Mandara, A. M. Musa
semanticscholar   +1 more source

On Hermite–Hadamard Inequalities for Generalized Quantum Interval Calculus

open access: yesJournal 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   +4 more
wiley   +1 more source

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