Bipolar fuzzy soft set theory, which is a very useful hybrid in decision making problems, mathematical model that has been emphasized especially recently. In this paper, the concepts of (α,β)-cuts, first type semi-strong second strong inverse semi-weak (α,β)-cuts and weak bipolar sets were introduced together with some their properties. addition, distinctive properties between established. More...

The fractal derivative is adopted to describe the non-linear fractional wave equation in a space. A variational principle successfully established by semi-inverse method. two-scale method and He?s exp-function are used solve equation, good result obtained.

This note describes estimation algorithms for generalized hyperbolic hyperbolic and nor mal inverse Gaussian distributions These distributions provide a better t to empirically observed log return distributions of nancial assets than the classical normal distributions Based on the better t to the semi heavy tails of nancial assets we can compute more realistic Value at Risk estimates The modell...

This paper adopts Rotem and Shinnar?s modification of the Rabinowitsch fluid model for one-dimensional non-Newtonian lubrication problem, a variational principle is established by semi-inverse method, generalized Reynolds-type equation obtained. article opens new avenue establishment complex problems.

Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Closed form of the temperature field is obtained by using the Laplace transform and fractional deri...

In this article we establish optimal estimates for the first eigenvalue of Schrödinger operators on the d-dimensional unit sphere. These estimates depend on Lp norms of the potential, or of its inverse, and are equivalent to interpolation inequalities on the sphere. We also characterize a semi-classical asymptotic regime and discuss how our estimates on the sphere differ from those on the Eucli...

An easy usable system for the semi-automatic acquisition of detailed 3D building descriptions from a multitude of images is provided. This approach tackles robustly and eeciently most of the problems of 3D building reconstruction, namely occlusions, inverse mapping, and noise. The 3D modeling is based on Constructive Solid Geometry (CSG) and various automated and supporting tools. Our experienc...

Stimulated Raman scattering between a laser pump pulse and a Stokes pulse is considered in a two-level medium with vectorial optical fields. The model on the semi-line is proved to be solvable by inverse scattering transform scheme. Among solutions, soliton generation is discussed. Then, it is shown how rotation of the Stokes wave leads to a spike of pump radiation in the time domain.

We present an efficient algorithm for image restoration from highly noised originals. The algorithm is based on diverse library of tight and semi-tight wavelet frames. Unlike majority of current denoising methods, which threshold the transform coefficients, our algorithm performs direct and inverse multiscale transforms using properly modified frame filters. No thresholding is applied. The proc...

Abstract. Optimal control problems with convex but non-smooth cost functional are considered. The non-smoothness arises from a L-norm in the objective functional, which recently attracted much research effort in the context of inverse problems. The problem is regularized to permit the use of semi-smooth Newton method. Error estimates with respect to the regularization parameter are provided. Mo...