Results 151 to 160 of about 320,166 (174)
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Averaging of controlled equations with Hukuhara derivative

Nonlinear Oscillations, 2006
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Plotnikov, V. A., Kichmarenko, O. D.
openaire   +1 more source

Integro-Differential Inclusions with Hukuhara Derivative

Nonlinear Oscillations, 2005
For an integro-differential inclusion with Hukuhara derivative, we introduce the notion of quasisolution and present conditions under which the set of quasisolutions coincides with the set of ordinary solutions. We also prove theorems on the relaxation of ordinary solutions and the compactness of the set of these solutions.
A. V. Plotnikov, A. V. Tumbrukaki
openaire   +1 more source

Liouville Formula for Some Classes of Differential Equations with the Hukuhara Derivative

Differential Equations, 2019
The authors consider the linear differential equation with Hukuhara derivative \[ DX(t)=A(t)X(t),\quad X(0)=X_0\in\mathrm{conv}(\mathbb{R}^2), \] where \(X(t)\in\mathrm{conv}(\mathbb{R}^2)\), \(DX(t)\) is Hukuhara derivative of the mapping \(X(\cdot)\) at the point \(t\), \(A\in C(\mathbb{R};L(\mathbb{R}^2))\), where \(L(\mathbb{R}^2)\) is the Banach ...
Atamas, I. V., Slyn'ko, V. I.
openaire   +1 more source

On conformable fractional nabla-hukuhara derivative on time scales

2017 International Conference on Fuzzy Theory and Its Applications (iFUZZY), 2017
We introduce and investigate the concept of conformable fractional Nabla-Hukuhara derivative of fuzzy-valued functions on time scales. By using the theory of time scales, we show some basic properties of conformable fractional Nabla-Hukuhara derivative. Our results extend and improve the related ones in [5,7,13].
Junhua Deng   +4 more
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Linear Differential Equations with Hukuhara Derivative Preserving the Constant Width Property

Differential Equations, 2022
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Practical stability of fuzzy differential equations with the second type of Hukuhara derivative

Journal of Intelligent & Fuzzy Systems, 2015
Abstract In this paper, practical stability of fuzzy differential equations with the second type of Hukuhara derivative are considered. Firstly, some notions are extended to fuzzy differential equations with the second type of Hukuhara derivative. Then with the help of Lyapunov-like functions, sufficient conditions are established for
Shuorui Zhang, Jitao Sun
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Time-Invariant Polyhedron-Preserving Linear Differential Equations with the Hukuhara Derivative

Differential Equations, 2020
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EXPLORING FUZZINESS OF THE PARAMETERS IN PREDATOR-PREY MODEL WITH HARVESTING: AN APPLICATION OF HUKUHARA DERIVATIVES

2023
In today's ecological research, the uncertainty surrounding parameter values in mathematical models holds a crucial role. This research article introduces the application of the Hukuhara derivative technique for formulating predator-prey interactions with harvesting.
Dr. Nikhilesh Sil   +4 more
openaire   +1 more source

A Delay Second-Order Set-Valued Differential Equation with Hukuhara Derivatives

Numerical Functional Analysis and Optimization, 2015
In this article, we study a second-order differential equation with three-point boundary conditions with the notion of Hukuhara derivatives. The existence and uniqueness of a solution is given under a Lipschitz condition on the right-hand side in the second and third variables.
Dalila Azzam-Laouir, Wafiya Boukrouk
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Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions

Information Sciences, 2020
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Debdas Ghosh   +3 more
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