Averaging differential embeddings with Hukuhara derivative
Ukrainian Mathematical Journal, 1989The 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 ...
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Tri Truong +2 more
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Random fuzzy functional integro-differential equations under generalized Hukuhara differentiability
Journal of Intelligent & Fuzzy Systems, 2014In this paper, we prove the existence and uniqueness results for the random fuzzy functional integro-differential equations under generalized Hukuhara differentiability. For the existence and uniqueness, we use the method of successive approximations. Some kinds of boundedness of the solution are established. Moreover, we provide examples to illustrate
Ho Vu 0001, Le Si Dong, Ngo Van Hoa
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Linear Differential Equations with Hukuhara Derivative Preserving the Constant Width Property
Differential Equations, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Estimates of the volume of solutions of differential equations with Hukuhara derivative
Mathematical Notes, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ocheretnyuk, E. V., Slyn'ko, V. I.
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Practical stability of fuzzy differential equations with the second type of Hukuhara derivative
Journal of Intelligent & Fuzzy Systems, 2015Abstract 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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Averaging of impulsive differential inclusions with Hukuhara derivative
Nonlinear Oscillations, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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GENERALIZED HUKUHARA FRACTAL DIFFERENTIABILITY IN FUZZY MODELING
FractalsThis study introduces the concept of generalized Hukuhara fractal differentiability for fuzzy-valued functions and explores the necessary conditions for differentiability. The Atangana–Baleanu–Caputo fuzzy fractal-fractional derivative is developed, along with the corresponding integral operators.
VIMALA JAYAKUMAR +5 more
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Second type Hukuhara differentiable solutions to the delay set-valued differential equations
Applied Mathematics and Computation, 2012The author considers delay set-valued differential equations using a recently introduced notion of a second type Hukuhara derivative. Under the condition that the right-hand side of the equation is Lipschitzian in the functional variable, the author proves existence and uniqueness of solutions to such equations.
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Solution Area for a Class of Linear Differential Equations with Hukuhara Derivative
Mathematical Notes, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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