As it is known various dynamical processes can be modeled through systems of time-fractional order pseudo-differential equations. In the modeling process one frequently faces with problem determination adequate orders derivatives in sense Riemann–Liouville or Caputo. This qualified as an inverse problem. The correct (vector) found utilizing available data. this paper we offer new method solutio...

The main goal of the paper is to approximate two types inverse problems for conformable heat equation (or called parabolic with operator); as follows, we considered cases: right hand side such that F x , t and id="M2"> = φ...

the aim of this paper is to generalize the‎‎notion of pseudo-almost valuation domains to arbitrary‎ ‎commutative rings‎. ‎it is shown that the classes of chained rings‎ ‎and pseudo-valuation rings are properly contained in the class of‎ ‎pseudo-almost valuation rings; also the class of pseudo-almost‎ ‎valuation rings is properly contained in the class of quasi-local‎ ‎rings with linearly ordere...

in this paper, some results of the chebyshev type integral inequality for the pseudo-integral are proven. the obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. finally, we applied our results  to the case of comonotone functions.

Multiscale transforms for real-valued data, based on interpolatory subdivision operators, have been studied in recent years. They are easy to define and can be extended other types of example, manifold-valued data. In this chapter, we linear multiscale transforms, certain linear, non-interpolatory termed “even-reversible.” For such prove, using Wiener’s lemma, the existence an inverse operator ...

In 2015, Barber and Candès introduced a new variable selection procedure called the knockoff filter to control the false discovery rate (FDR) and prove that this method achieves exact FDR control. Inspired by the work of Barber and Candès (2015), we propose and analyze a pseudoknockoff filter that inherits some advantages of the original knockoff filter and has more flexibility in constructing ...