Results 141 to 150 of about 320,166 (174)

Interval Cauchy problem with a second type Hukuhara derivative

Information Sciences, 2012
The paper presents some theoretical studies of an interval-valued initial value problem with the second type Hukuhara derivative of the form \[ X'(t)=F(t,X(t)),\quad X(t_0)=X_0, \] where \(F:[\alpha,\beta]\times I \to I\) and \(X_0=[X_0^-,X_0^+]\in I\) are the data of the equation, and the symbol \('\) denotes the second type Hukuhara derivative. Here,
Marek T Malinowski
exaly   +4 more sources

Some connections between the generalized Hukuhara derivative and the fuzzy derivative based on strong linear independence

Information Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estevao Esmi, Tofigh Allahviranloo
exaly   +5 more sources

Stability of Fuzzy Differential Equations With the Second Type of Hukuhara Derivative

IEEE Transactions on Fuzzy Systems, 2015
In this paper, we consider fuzzy differential equations with the second type of Hukuhara derivative. With the help of Lyapunov-like functions, we establish stability, uniform stability, and uniformly asymptotical stability theorems, respectively, for a class of fuzzy differential equations with the second type of Hukuhara derivative.
Jitao Sun
exaly   +2 more sources

Solution Area for a Class of Linear Differential Equations with Hukuhara Derivative

Mathematical Notes, 2019
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V I Slyn'Ko, V I Slyn’Ko
exaly   +2 more sources

Averaging differential embeddings with Hukuhara derivative

Ukrainian Mathematical Journal, 1989
The author proves a Bogolyubov-type averaging theorem for a differential inclusion \(D_ hX(t)\in\varepsilon F(t,X(t))\), \(X(0)=X^ 0\), where \(D_ hX(t)\) is the Hukuhara derivative of a set-valued map taking values in \(\text{Conv}(\mathbb{R}^ n)\), the space of nonempty compact and convex subsets of \(\mathbb{R}^ n\), and the values of a set-valued ...
exaly   +3 more sources

Averaging of impulsive differential inclusions with Hukuhara derivative

Nonlinear Oscillations, 2007
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exaly   +2 more sources

Fractional-like Hukuhara derivatives in the theory of set-valued differential equations

Chaos, Solitons and Fractals, 2020
Abstract In this paper a fractional-like Hukuhara-type derivative is introduced for a set of equations. Connections between the new defined notion and the classical Hukuhara derivative are established and, in addition, some applications to the theory of set-valued differential equations are discussed. Namely, for a family of equations with fractional-
Ivanka Stamova
exaly   +2 more sources

Method of comparison for differential equations with the Hukuhara derivative in the space conv(ℝ2)

Journal of Mathematical Sciences, 2015
A new approach based on the ideas of the geometry of convex bodies and on the Matrosov–Vasil’ev method of comparison to the analysis of the solutions of differential equations with the Hukuhara derivative is proposed. The estimates of the area of solutions for a class of pseudolinear differential equations with the Hukuhara derivative are obtained. The
Evgenii V. Ocheretnyuk, Vitalii I. Slyn’ko   +1 more
exaly   +2 more sources

The application of fuzzy Laplace transform by using generalized Hukuhara derivative

2021
Summary: In this research an analytic method is used to solve fuzzy heat equation with fuzzy initial values, which is based on generalized Hukuhara differentiability. At first, we define fuzzy laplace transform in \(t\) considering \(x\) as a parameter on fuzzy functions \(u(x, t)\) and their derivatives by using generalized Hukuhara differentiability.
Ahmadi, Mahnaz Barkhordari, Moatamed, Pegah   +1 more
openaire   +1 more source

Differential inclusions with Hukuhara derivative

Nonlinear Oscillations, 2007
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Komleva, T. A., Plotnikov, A. V.
openaire   +2 more sources