Results 1 to 10 of about 320 (70)

Inhomogeneous conformable abstract Cauchy problem

Open Mathematics, 2021
In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given.
Rabhi Lahcene, Al Horani Mohammed, Khalil Roshdi   +2 more
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An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces

Alexandria Engineering Journal, 2022
This manuscript concerns the approximate controllability results in Hilbert space of Hilfer fractional differential inclusions. We show that the Hilfer fractional neutral differential inclusions are approximately controllable using Bohnenblust-Karlin’s ...
Yong-Ki Ma, K. Kavitha, Wedad Albalawi, Anurag Shukla, Kottakkaran Sooppy Nisar, V. Vijayakumar   +5 more
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On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system

Alexandria Engineering Journal, 2023
The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems.
K. Kavitha, V. Vijayakumar, Kottakkaran Sooppy Nisar   +2 more
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Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability☆

Ain Shams Engineering Journal, 2023
This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system.
Yong-Ki Ma, C. Dineshkumar, V. Vijayakumar, R. Udhayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar   +5 more
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ASUPRA REGULARIZĂRII OPERATORILOR INTEGRALI SINGULARI. CRITERII NOETHERIENE

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2020
Lucrarea este consacrată studiului algebrei (închise) generată de operatorii integrali singulari cu coeficienți continui pe conturul Γ. Sunt stabilite condiţiile necesare şi suficiente în care operatorii din algebra A sunt noetherieni în spaţiul Lp (Γ ...
Vasile NEAGU
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis

Open Mathematics, 2020
Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
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Generators with a closure relation [PDF]

, 2013
Assume that a block operator of the form $\left(\begin{smallmatrix}A_{1}\\A_{2}\quad 0\end{smallmatrix}\right)$, acting on the Banach space $X_{1}\times X_{2}$, generates a contraction $C_{0}$-semigroup. We show that the operator $A_{S}$ defined by $A_{S}
Schwenninger, Felix, Zwart, Hans
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Fragmentation arising from a distributional initial condition [PDF]

, 2010
A standard model for pure fragmentation is subjected to an initial condition of Dirac-delta type. Results for a corresponding abstract Cauchy problem are derived via the theory of equicontinuous semigroups of operators on locally convex spaces.
Aizenman, Banasiak, Belleni-Morante, Belleni-Morante, Erdélyi, Gel'fand, Kōmura, Lamb, Lebedev, Lisi, McBride, McBride, McGrady, Zemanian, Ziff, Ziff   +15 more
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The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth [PDF]

, 2012
In this paper we present a class of fragmentation semigroups which are compact in a scale of spaces defined in terms of finite higher moments. We use this compactness result to analyse the long time behaviour of such semigroups and, in particular, to ...
A. C. McBride, A. L. Smith, F. P. da Costa, J. Banasiak, J. Banasiak, J. Banasiak, J. Banasiak, J. Carr, J. M. Ball, Jacek Banasiak, K. Pichór, K.-J. Engel, K.-J. Engel, P. Glendinning, P. Laurençot, Ph. Clément, R. Rudnicki, T. Kato, W. Arendt, Wilson Lamb   +19 more
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Estimates for Solutions of Differential Equations in a Banach Space via Commutators

Nonautonomous Dynamical Systems, 2018
In a Banach space we consider the equation dx(t)/dt = (A + B(t))×(t) (t ≥ 0), where A is a constant bounded operator, and B(t) is a bounded variable operator.Norm estimates for the solutions of the considered equation are derived in terms of the ...
Gil’ Michael
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