We introduce a category composed of all quantizations Poisson algebras. By the category, we can treat in unified way various for algebras and develop new classical limit formulation. This formulation proposes method inverse problem, that is, problem finding from quantized space. Equivalence is defined by using this conditions under which two are equivalent investigated. Two types limits as cont...

A new look at the fractional diffusion equation was done. Using unified derivative, a formulation proposed, and solved for three different order cases: neutral, dominant time, space. The solutions were expressed by generalizations of classic formulae used stable distributions. entropy paradox problem studied clarified through Rényi entropy: in extreme wave regime is −∞. In passing, Tsallis entr...

From a previous paper where we proposed description of general relativity within the gravito-electromagnetic limit, propose an alternative modified gravitational theory. As in former version, analyze vector and tensor equations motion, continuity equation, conservation energy, energy-momentum tensor, field constraints concerning these fields. The Lagrangian formulation is also exhibited as unif...

We consider the Cauchy problem for a degenerate fractional conservation laws driven by noise. In particular, making use of an adapted kinetic formulation, result existence and uniqueness solution is established. Moreover, unified framework also established to develop continuous dependence theory. More precisely, we demonstrate $$L^1$$ -continuous estimates on initial data, order Laplacian, diff...

We present a theoretical investigation of anisotropic superconducting spin transport at magnetic interface between $p$-wave superconductor and ferromagnetic insulator. Our formulation describes the resonance modulations due to current generation depending on spin-triplet Cooper pair, including frequency shift enhanced Gilbert damping, in unified manner. find that pair symmetry is detectable fro...

A new polynomial formulation of variable step size linear multistep methods is presented, where each k-step method is characterized by a fixed set of k− 1 or k parameters. This construction includes all methods of maximal order (p = k for stiff, and p = k+1 for nonstiff problems). Supporting time step adaptivity by construction, the new formulation is not based on extending classical fixed step...

When a mountaineer is ascending one of the great peaks of the Himalayas she knows that an entirely new vista awaits her at the top, whose ramifications will be known only after she gets there. Her immediate goal though, is to tackle the obstacles on the way up, and reach the peak. In a similar vein, one of the immediate goals of contemporary theoretical physics is to build a quantum, unified de...

Multiscale and Multigranular (MSMG) Spatial Data Mining (SDM) algorithms are used to find the best granular class label from a hierarchical set of granular class labels for spatial classification, which is important for many application domains including the military. However, it is computationally very expensive due to a complex quality measure for ranking class labels. In this paper we propos...

The Brinkman model is a unified law governing the flow of a viscous fluid in cavity (Stokes equations) and in porous media (Darcy equations). In this work, we explore a novel mixed formulation of the Brinkman problem by introducing the flow’s vorticity as an additional unknown. This formulation allows for a uniformly stable and conforming discretization by standard finite element (Nédélec, Ravi...