Generalized Hukuhara differentiability of interval-valued functions and interval differential equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 Let \(\mathbb{I}\) denote the set of all compact intervals on the real line: \(\mathbb{I}=\{[a^-,a^+]\mid a^-\leq a^+\}\). For \(a,b\in\mathbb{R}\), we write \[ [[a,b]]= \begin{cases} [a,b]&\text{if \(a\leq b\)};\\ [b,a]&\text{if \(a>b\)}. \end{cases} \] The \textit{generalised Hukuhara difference} (\textit{gH-difference} for short) \(\ominus_{\text{g}}
Luciano Stefanini, Barnabás Bede
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Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability
Computational and Applied Mathematics, 2022 AbstractIn this paper, a new generalized Hukuhara differentiability concept for interval-valued functions defined on $${\mathbb {R}}^{n}$$ R n is proposed, which extends the classical Fréchet differentiability ...
Yurilev Chalco Cano +2 more
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Fuzzy Sets and Systems, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yurilev Chalco Cano +2 more
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Fuzzy analysis of 2-D wave equation through Hukuhara differentiability coupled with AOS technique [PDF]
HeliyonThe research article in hand provides a new mechanism that deals with the investigation of the triangular analytical fuzzy solutions (TAFS) of the two-dimensional fuzzy fractional order wave equation (2-D FFWE) through the Hukuhara conformable fractional
Bahaaeldin Abdalla +2 more
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Solutionsof Fuzzy Goursat Problems with Generalized Hukuhara (gH)-Differentiability Concept
AxiomsIn this manuscript, we will discuss the solutions of Goursat problems with fuzzy boundary conditions involving gH-differentiability. The solutions to these problems face two main challenges.
Noor Jamal +5 more
doaj +3 more sources
On the Sum of Generalized Hukuhara Differentiable Fuzzy Functions [PDF]
Information Processing and Management of Uncertainty in Knowledge-Based Systems, 2020 In this article we present new results on the sum of gH-differentiable fuzzy functions . We give conditions so that the sum of two gH-differentiable fuzzy functions become gH-differentiable. We present also practical rules for obtaining the gH-derivative of the sum of fuzzy functions.
Chalco-Cano Y +2 more
europepmc +10 more sources
Fuzzy Optimization and Modeling, 2023 The paper proposes a procedure for solving a linear system of fuzzy differential equations from the point of view of the generalized Hukuhara derivative. First, the method is based on two functions of half-length and midpoint of fuzzy numbers and next it
Mehran Chehlabi +1 more
doaj +2 more sources
Generalized FitzHugh-Nagumo equations with Caputo gH-differentiability: A novel fuzzy fractional approach to digital memristor networks. [PDF]
PLoS ONEThe fuzzy fractional generalized FitzHugh-Nagumo differential equations (FFGFH-NDEs) is a well-known and generalized model that plays a significant role in biological systems, including complex synchronization in brain networks, cardiac dynamics ...
Muhammad Yousuf +3 more
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Finite Difference Method for Neutrosophic Fuzzy Second Order Differential Equation under Generalized Hukuhara Differentiability [PDF]
Neutrosophic Sets and Systems, 2023 This paper solves the boundary value problem of the second-order differential equation under the neutrosophic fuzzy boundary condition. The proposed solution is approximated using the finite difference method but deneutrosophication utilizing strongly ...
Bassem Kamal +3 more
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Neutrosophic Fuzzy Boundary Value Problem under Generalized Hukuhara Differentiability [PDF]
Neutrosophic Sets and Systems, 2021 In this article, the main definitions and differentiation concepts of neutrosophic fuzzy environment will be reviewed. This article will introduce an analytical methodology for solving the second-order linear ordinary differential problem with ...
Bassem A. Kamal +4 more
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