The Fokker-Planck equation is considered, which is connected to the birth and death process with immigration by the Poisson transform. The fractional derivative in time variable is introduced into the Fokker-Planck equation in order to investigate an origin of oscillatory behavior of cumulant moments. From its solution (the probability density function), the generating function (GF) for the cor...

There is a a set E of positive Lebesgue measure and a function nowhere di¤erentiable on E which is di¤erentible in the Lp sense for every positive p at each point of E. For every p 2 (0;1] and every positive integer k there is a set E = E(k; p) of positive measure and a function which for every q < p has k Lq Peano derivatives at every point of E despite not having an Lp kth derivative at any p...

background: chlorotoxin is a 36-amino acid peptide found in the venom of the leiurus quinquestriatus which blocks small-conductance chloride channels. chlorotoxin binds preferentially to glioma cells that allow development of new methods for the treatment and diagnosis of several types of cancer. thus chlorotoxin derivative was labeled with 131i for further investigation. materials and methods:...

The structure of the title coumarin derivative, C(11)H(9)BrO(3), is stabilized by weak inter-molecular C-H⋯O hydrogen bonds.

In this article, we define a new class of convexity called generalized $(h-m)$-convexity, which generalizes $h$-convexity and $m$-convexity on fractal sets $\mathbb{R}^{\alpha}$ $(0<\alpha\leq 1)$. Some properties are discussed. Using local fractional integrals Hermite-Hadamard (H-H) Fej\'er-Hermite-Hadamard (Fej\'er-H-H) types inequalities. We also obtained result the Fej\'er-H-H type for func...

The Schwarz derivative of a real-valued function of a real variable F is de…ned at the point x by lim h!0 F (x+ h) 2F (x) + F (x h)

A structural study of epoxidized natural rubber (ENR-50) and its cyclic dithiocarbonate derivative was carried out using NMR spectroscopy techniques. The overlapping (1)H-NMR signals of ENR-50 at δ 1.56, 1.68-1.70, 2.06, 2.15-2.17 ppm were successfully assigned. In this work, the <(13)C-NMR chemical shift assignments of ENR-50 were consistent to the previously reported work. A cyclic dithiocarb...

We find an expression for the Gateaux derivative of C⁎-algebra norm. Using this, we obtain a characterization orthogonality operator A∈B(H,K) to subspace, under assumption dist(A,K(H,K))<‖A‖. subdifferential set norm function at A∈B(H) when dist(A,K(H))<‖A‖. also give new proofs known results on closely related notions smooth points and Birkhoff-James spaces B(H) Cb(Ω), respectively.

this paper introduces a technique for controlling a class of uncertain chaotic systems using an adaptive fuzzy proportional-integrator-derivative (pid) controller with h∞ tracking performance. the purpose of this work is to achieve optimal tracking performance of the controller using backtracking search algorithm (bsa). bsa, which is a novel heuristic algorithm, has an easy structure with singl...

Decomposition of protected hydrazine diol (1) hemi-oxalate, a key intermediate of the potent indolocarbazole-based DNA topoisomerase I inhibitor (2), was investigated. Spectroscopic analysis revealed that the main decomposition compounds of the hydrazine derivative were a peroxide (3) and an alcohol derivative (4). The peroxide derivative (3) was proposed to form in the presence of oxygen- and/...