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In this study, time-fractional coupled Korteweg–de Vries (cKdV) equations are solved using an efficient and reliable numerical technique. The classical cKdV system has been generalized into the time-fractional cKdV system. We employ the local fractional homotopy analysis method (LFHAM) and the Adomian decomposition method (ADM) to propose an approximate solution for fractional cKdV equations. Both approaches determinedfindings are compared together. The findings clearly demonstrate that the suggested methods are appropriate and efficient for handling both linear and nonlinear issues in engineering and sciences. To demonstrate the suggested approaches’ competencies, examples are provided. Convergent series form has been used to make the solutions. The relevance of the techniques is illustrated through graphic representations of the solution. [ABSTRACT FROM AUTHOR]

This research work is dedicated to solving the n-generalized Korteweg–de Vries (KdV) equation in a fractional sense. The method is a combination of the Sumudu transform and the Adomian decomposition method. This method has significant advantages for solving differential equations that are both linear and nonlinear. It is easy to find the solutions to fractional-order PDEs with less computing labor. [ABSTRACT FROM AUTHOR]

As a part of our ongoing research, we have synthesized a new fluorescence probe, p-C4A, based on a calix[4]arene substituted with 4-aminoquinoline moieties with amide linkages. p-C4A can selectively recognize Li+ and PO43− ions and has been characterized via an emission study, an absorption study, ESI-MS spectroscopy, a 1H NMR study and cyclic voltammetry. The fluorescence sensor p-C4A can operate over a concentration range of 5–170 nM for Li+ sensing and 5–80 nM for PO43− sensing. The R2 values obtained for the sensing of Li+ and PO43− ions are 0.9962 and 0.9911, respectively. p-C4A demonstrates a minimum detection limit of 6.15 nM for Li+ and 9.0 nM for PO43−. The quantum yields of p-C4A as its Li+ and PO43− ion complexes were found to be 0.014 and 0.27, respectively. Herein, we report an easy-to-use, low-cost, disposable, paper-based, fluorescent, wax-printed device for the rapid chemical screening of Li+ and PO43−. This device can be used as a quick, portable, multiple-test panel that is simple, lightweight, and disposable. Moreover, in order to assess its analytical applicability, the prepared sensor was successfully used for the determination of Li+ and PO43− from wastewater samples, validating the proposed ion recovery method with 96–99% recovery rates. [ABSTRACT FROM AUTHOR]

In this paper, we solve the local fractional generalized Fokker–Planck equation. To solve the problem, local fractional Mohand transform with Adomian decomposition method is introduced due to its simple approach and less computational work. Furthermore, for the applicability of the technique, we illustrate some examples and their exact or approximate solutions with their graphical representations. [ABSTRACT FROM AUTHOR]

INTRODUCTION Turnover is an important organizational outcome with costly and disruptive effects. Efforts have been made to study this behavior with the objective of understanding the causes behind it. One [...]

Beliefs and values concerning business ethics of officers of corporations and of business school faculty and administrators are compared. The study, third in a series, is based on surveys in 1988 and 1989. General agreement is found on the relative importance of most issues. Academic respondents appeard to focus on the importance of 'bureaucratic' avenues of dealing with ethical issues, while businesspersons had a preference for the approach involving the least amount of outside intervention.

It's a small wonder. Yes, nanotechnology is already touching our lives for better. The recent progress in the field of medicine has been phenomenal. None could have ever imagined that the Nanotechnology would have such a promising and extensive application in medical sciences. Right from developing newer therapeutics and imaging techniques to targeted drug delivery you can name it all. Nanotechnology science is still in its nascent stage with a long way to go. A nanometer is a billionth of a meter. Manipulation of matter on a very small scale is Nanotechnology and its utilization in medicine is Nanomedicine. In fact in recent times no other branch has seen the amalgation of such varied disciplines including physicists, chemists, engineers and biologists. Nanotechnology is still a very nascent science. It needs to grow and as its grows its true virtues and vices would come to fore. At the most now we can say that it has a very promising future. The genesis of nanotechnology can be traced to the promise of revolutionary advances across medicine, communications, genomics and robotics. [ABSTRACT FROM AUTHOR]

In this era, Human identification and authentication play a very important role in human life, since the fingerprint is unique for all human beings. It helps the person to identify or secure the system. In this paper, a method is proposed by which a vehicle can be ignited using a helmet or fingerprint of the user. Nowadays, as the injuries and the death rate due to accidents are increasing, an automated helmet based system is designed through which the driver will not be able to start the motorcycle engine without a helmet. Also, to overcome the theft activity fingerprint module is used to start the vehicle. [ABSTRACT FROM AUTHOR]