Fractional analysis is applied to describe classical dynamical systems. Fractional derivative can be defined as a fractional power of derivative. The infinitesimal generators {H, ·} and L = G(q, p)∂q + F (q, p)∂p, which are used in equations of motion, are derivative operators. We consider fractional derivatives on a set of classical observables as fractional powers of derivative operators. As ...

This paper deals with the investigation of the solution of an unified fractional reaction-diffusion equation associated with the Caputo derivative as the time-derivative and Riesz-Feller fractional derivative as the space-derivative. The solution is derived by the application of the Laplace and Fourier transforms in closed form in terms of the H-function. The results derived are of general natu...

In the title ferrocene derivative, [Fe(C(5)H(5))(C(14)H(14)NO)], the dihedral angle between the mean planes of the phenyl ring and the substituted cyclo-penta-dienyl ring is 84.4 (1)°. The mol-ecules are connected into centrosymmetric dimers via N-H⋯O hydrogen bonds. In addition, C-H⋯O and C-H⋯N contacts stabilize the crystal packing.

Succinimidinium hydrogensulfate ([H-Suc]HSO4), as a new and stable derivative of succinimide, is easily prepared by the reaction of succinimide with neat sulfuric acid. This ionic liquid can be used as an efficient catalyst for the acetylation of alcohols, phenols, thiols and amines at room temperature under mild and solvent free conditions. All the products are separated and identified using d...

The aim of this work is to provide the first strong convergence result numerical approximation a general time-fractional second order stochastic partial differential equation involving Caputo derivative in time $\alpha\in(\frac 12; 1)$ and driven simultaneously by multiplicative standard Brownian motion additive fBm with Hurst parameter $H\in(\frac 12, 1)$, more realistic model random effects o...

in this article, we survey the asymptotic stability analysis of fractional differential systems with the prabhakar fractional derivatives. we present the stability regions for these types of fractional differential systems. a brief comparison with the stability aspects of fractional differential systems in the sense of riemann-liouville fractional derivatives is also given.

The aim of the present study was to investigate the effects of an oleanolic acid derivative, a novel antitumor drug, on the growth of SMMC-7721 human hepatocellular carcinoma cells and the underlying mechanism. An MTT assay was performed to determine the cytotoxicity of the oleanolic acid derivative. Cell membrane integrity was assessed using fluorescence microscopy to assess the uptake of anne...

Magnetic polymer particles which were modified by vinyl groups and subjected topolymerization by vinyl β-Cyclodextrin derivative, has been used as adsorbent for sorption andrelease of bovine serum albumin and the equilibrium and kinetics of the adsorption process werestudied. The absorbability and releasing of this protein through the new polymer has beenmeasured by ultraviolet-visible spectros...