in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

In many real world problems, data sometimes comes from n agents (n≥2), multipolar information exists. For issues that are associated with uncertainty, this information can not be showed with the values of crisp, fuzzy, intuitionistic or bipolar. Graph is one of the mathematical models widely used in different sciences. Ambiguity in a graph where data depends on the n parameter can not be showed...

This study explores a binary solvent system composed of biobased Cyrene and its derivative Cygnet 0.0 for application in membrane technology biocatalytic synthesis polyesters. Cygnet-Cyrene blends could represent viable replacements toxic polar aprotic solvents. The use 50 wt % mixture makes practical difference the production flat sheet membranes by nonsolvent-induced phase separation. New pol...

The polar flagellum of Vibrio alginolyticus is rotated by the sodium motor. The stator unit of the sodium motor consists of four different proteins: PomA, PomB, MotX and MotY. MotX and MotY, which are unique components of the sodium motor, form the T-ring structure attached to the LP ring in the periplasmic space. MotY has a putative peptidoglycan-binding motif in its C-terminal region and MotX...

The reaction of ('BuO)2Si(Cl)Vi (3) with Li'Bu has been investigated in pentane or toluene (non-polar) and mixtures o f pentane or toluene with THF (polar), respectively, in order to gain information about the influence o f substituents and the polarity o f the solvent on the reaction mechanism. In accord with earlier results, using Me2Si(Cl)Vi (1) [8] or 'Bu2Si(Cl)Vi (2) [5] as precursors, the...

sponges are the simplest multicellular animals that lack defense mechanisms and rely on chemical defense  that have been used by mankind to develop antimicrobial drugs against diseases.  the present study was designed to demonstrate the antibacterial and antifungal activities of marine sponge dysidea pallescens semipolar and nonpolar extracts. in this study, d. pallescens were collected from he...

beside ziegler-natta and phillips catalysts the development of methylaluminoxane (mao) as cocatalyst incombination with metallocenes or other transition metal complexes for the polymerization of olefins haswidely increased the possibilities in controlling the polymer composition, polymer structure, tacticity and special properties with high precision. these catalysts allow the synthesis of isot...

• Connections in Rn . We have by now defined a number of different notions of differentiation: the differential of maps between manifolds, the exterior derivative of differential forms, and the Lie derivative. To begin to see the need for a new notion of differentiation (which will turn out to be the most fundamental and will apply to general tensor fields) consider first the problem of definin...

We survey recent results on the structure of the range of the derivative of a smooth mapping f between two Banach spaces X and Y . We recall some necessary conditions and some sufficient conditions on a subsetA of (X ,Y) for the existence of a Fréchet differentiable mapping f from X into Y so that f ′(X)= A. Whenever f is only assumed Gâteaux differentiable, new phenomena appear: for instance, ...