In this paper, we first study the existence-uniqueness and large deviation estimate of solutions for stochastic Volterra integral equations with singular kernels in 2-smooth Banach spaces. Then, we apply them to a large class of semilinear stochastic partial differential equations (SPDE) driven by Brownian motions as well as by fractional Brownian motions, and obtain the existence of unique max...

The aim of this paper is to study a conservative wave equation coupled to a diffusion equation : this coupled system naturally arises in musical acoustics when viscous and thermal effects at the wall of the duct of a wind instrument are taken into account. The resulting equation, known as Webster-Lokshin model, has variable coefficients in space, and a fractional derivative in time. The port-Ha...

We study a model of vehicular traffic flow represented by a coupled system formed by a scalar conservation law, describing the evolution of cars density, and an ODE, whose solution is the position of a moving bottleneck, i.e. a slower vehicle moving inside the cars flow. A fractional step approach is used to approximate the coupled model and convergence is proved by compactness arguments. Final...

Abstract We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and doubling metric measure spaces. show that the strongly amv-harmonic are Hölder continuous for any exponent below one. More generally, we define class of finite amv-norm this belong a fractional Hajłasz–Sobolev space their blow-ups satisfy mean-value property. Furt...

<p style='text-indent:20px;'>We propose a new variational framework to remove mixture of Gaussian and impulse noise from images. This is based on non-convex PDE-constrained with fractional-order operator. The norm applied the component controlled by weighted parameter <inline-formula><tex-math id="M1">\begin{document}$ \gamma $\end{document}</tex-math></inline-formula...

In this article, we present an efficient local meshless method for the numerical treatment of 3-D convection-diffusion PDE. The demand techniques increment because its nature and simplicity usage in higher dimensions. This technique approximates solution on set uniform scattered nodes. space derivatives models are discretized by proposed procedure though time fractional part is Liouville-Caputo...

Background. The purpose of this work was to further define the value of cardiac 3'P magnetic resonance (MR) spectroscopy for patients with coronary artery disease and dilated cardiomyopathy. Methods and Results. Blood-corrected and Tl-corrected 3`P MR spectra of anteroseptal myocardium were obtained at rest using image-selected in vivo spectroscopy localization, a selected volume of 85± 12 cm3,...