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.

Forensic scientists use various techniques to separate accelerants from fire debris samples before instrumental identification of added fuels. Among the choices available, traditional micro-distillation, steam distillation, vacuum distillation, headspace, heated headspace, and several vapor adsorption/desorption methods provide various advantages and disadvantages. This communication reviews th...

The genus Boswellia is one of the 17 genera belonging to Burseraceae family. In this study resin of Boswellia carteri birdwoodcollected or purchased from Tehram herbal Market as a food and non-food for chemical analysis. The essential oils of the resins of Boswellia carteri birdwoodobtained by different methods of distillation (water distillation, steam distillation and hydro-steam distillation...

Abstract This paper presents the nonlinear dynamic analysis of an ideal two-reactant-two product reactive distillation. The impact of disturbance magnitudes and directions on openloop stability of the system is studied. An analysis of the physicochemical phenomena present in reactive distillation processes that, under certain operational conditions, causes special types of nonlinear behavior is...

the complex-step derivative approximation is applied to compute numerical derivatives. in this study, we propose a new formula of fractional complex-step method utilizing jumarie definition. based on this method, we illustrated an approximate analytic solution for the fractional cauchy-euler equations. application in image denoising is imposed by introducing a new fractional mask depending on s...

For a packed bed in a distillation column, fmax is the maximum fractional liquid maldistribution that can be tolerated in a parallel column model whilst still being able to achieve the design separation. It was previously shown that fmax can be easily calculated from a conventional column simulation output and it is a measure of the sensitivity of a packed bed to maldistribution. In this paper,...

The optimal design and operations of water supply chain networks for shale gas production is addressed. A mixedinteger linear fractional programming (MILFP) model is developed with the objective to maximize profit per unit freshwater consumption, such that both economic performance and water-use efficiency are optimized. The model simultaneously accounts for the design and operational decisions...

Non-pinched, minimum energy solutions are important class of distillation designs that offer the potential advantage of a better trade-off between capital investment and operating costs. In this paper, two important tasks associated with non-pinched distillation designs are studied. Thus the novel contributions of this work to the literature are (1) A comprehensive methodology for finding non-p...

The simulation and steady state operation of a vapor recompression pilot plant distillation column is studied in order to improve the thermal efficiency. A binary system of ethanol-water mixture is used. The simulation is carried through ASPEN PLUS version 9.3-1. Energy reduction of 89.26% is obtained comparing to the conventional distillation and the thermodynamic efficiency is improved from 1...