Results 51 to 60 of about 2,669 (149)

Optimality conditions for fractional differential inclusions with nonsingular Mittag–Leffler kernel

Advances in Difference Equations, 2018
In this paper, by using the Dubovitskii–Milyutin theorem, we consider a differential inclusions problem with fractional-time derivative with nonsingular Mittag–Leffler kernel in Hilbert spaces. The Atangana–Baleanu fractional derivative of order α in the
G. M. Bahaa, Adnane Hamiaz
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Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Advanced Nonlinear Studies, 2017
We prove the Wloc2⁢s,p${W_{{\mathrm{loc}}}^{2s,p}}$ local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian on an arbitrary bounded open set of ℝN${\mathbb{R}^{N}}$. The key tool consists in analyzing
Biccari Umberto, Warma Mahamadi, Zuazua Enrique   +2 more
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Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method

Fractal and Fractional, 2020
In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms.
Onur Saldır, Mehmet Giyas Sakar, Fevzi Erdogan   +2 more
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On holography in general background and the boundary effective action from AdS to dS

Journal of High Energy Physics, 2022
We study quantum fields on an arbitrary, rigid background with boundary. We derive the action for a scalar in the holographic basis that separates the boundary and bulk degrees of freedom.
Sylvain Fichet
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Variable Shape Parameter Strategy in Local Radial Basis Functions Collocation Method for Solving the 2D Nonlinear Coupled Burgers’ Equations

Mathematics, 2017
This study aimed at investigating a local radial basis function collocation method (LRBFCM) in the reproducing kernel Hilbert space. This method was, in fact, a meshless one which applied the local sub-clusters of domain nodes for the approximation of ...
Hananeh Nojavan, Saeid Abbasbandy, Tofigh Allahviranloo   +2 more
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Subexponential behaviour of the Dirichlet heat kernel

Journal of Functional Analysis, 2003
Let \(D\) be an open and connected set in \(\mathbb{R}^m\), and let \(p_D(x,y; t)\), \(x\in D\), \(y\in D\), \(t> 0\) denote the Dirichlet heat kernel associated to the parabolic operator \(-\Delta_D+ {\partial\over\partial t}\), where \(-\Delta_D\) is the Dirichlet Laplacian for \(D\).
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Gradient estimates of Dirichlet heat kernels for unimodal Lévy processes [PDF]

Mathematische Nachrichten, 2017
AbstractUnder some mild assumptions on the Lévy measure and the symbol we obtain gradient estimates of Dirichlet heat kernels for pure‐jump isotropic unimodal Lévy processes in .
Kulczycki, Tadeusz, Ryznar, Michał
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The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions

Boundary Value Problems
In this paper, we investigate the fractional hybrid integro-differential equations with Dirichlet boundary conditions. We first prove the existence of a unique solution for the equation using a fixed point technique.
Zahra Eidinejad, Reza Saadati, Javad Vahidi, Chenkuan Li, Tofigh Allahviranloo   +4 more
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On Lebesgue Constants

Axioms
Simple formulae for Lebesgue constants arising in the classical Fourier series approximation are obtained. Both even and odd cases are addressed, extending Fejér’s results. Asymptotic formulae are also obtained.
Manuel Duarte Ortigueira, Gabriel Bengochea   +1 more
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Learning Dirichlet Kernel Histogram Functions For Pattern Recognition

, 2009
Publication in the conference proceedings of EUSIPCO, Glasgow, Scotland ...
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