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Convexity and Monotonicity Analyses for Discrete Fractional Operators with Discrete Exponential Kernes
Full text linkFor discrete fractional operators with exponential kernels, positivity, monotonicity, and convexity findings are taken into consideration in this paper. Our findings cover both sequential and non-sequential scenarios and show how fractional differences with other kinds of kernels and the exponential kernel example are comparable and different. This demonstrates that the qualitative information gathered in the exponential kernel case does not match other situations perfectly
Monotonicity Results For Discrete Caputo-Fabrizio Fractional Operators
Full text linkNearly every theory in mathematics has a discrete equivalent that simplifies it theoretically and practically so that it may be used in modeling real-world issues. With discrete calculus, for instance, it is possible to find the "difference" of any function from the first order up to the n-th order. On the other hand, it is also feasible to expand this theory using discrete fractional calculus and make n any real number such that the 1⁄2-order difference is properly defined. This article is divided into five chapters, each of which develops the most straightforward discrete fractional variational theory while illustrating some fundamental concepts and features of discrete fractional calculus. It is also investigated how the idea may be applied to the development of tumors. The first section provides a succinct introduction to the discrete fractional calculus and several key mathematical concepts that are utilized often in the subject. We demonstrate in section 2 that if the Caputo-Fabrizio nabla fractional difference operator of order and commencing at is positive for then is -increasing. On the other hand, if is rising and , then . Additionally, a result of monotonicity for the Caputo-type fractional difference operator is established. We show a fractional difference version of the mean-value theorem as an application and contrast it to the traditional discrete fractional instance
Video gaming among youth during covid-19 lockdowns in Chennai, Tamilnadu, India
Full text linkVideo gaming is the new social currency among youth. Youths have begun to exhibit addictive characteristics of videogaming affecting different facet of life during Covid-19 Pandemic lockdown. Mixed methodology and purposive sampling, snowball sampling technique was used for comprehensive interpretation. The Videogame addiction was assessed using the (7-item criterion) Gaming Addiction Scale (GAS). Major findings include changes in daily habits, motives, experience lifestyle and career choices, changes in communication and socializing pattern, performance in education, work, Mental and physical health and understanding primary caretakers concern on youth. The suggestions, implications will be based on social work practice for Individuals, parents and other stakeholders based on the findings
Some identities involving degenerate Cauchy numbers and polynomials of the fourth kind
Full text linkIn this paper, we study the constant equations associated with the degenerate Cauchy polynomials of the fourth kind using the generating function and Riordan array. By using the generating function method and the Riordan array method, we establish some new constants between the degenerate Cauchy polynomials of the fourth kind and two types of Stirling numbers, Lab numbers, two types of generalized Bell numbers, Daehee numbers, Bernoulli numbers and polynomials
Meromorphic solutions to certain differential-difference equations
Full text linkThe aim of this paper is to investigate the growth and constructions of meromorphic solutions of the nonlinear differential-difference equationwhere , are distinct nonzero complex numbers, is a nonzero entire function and are meromorphic functions. In particular, for , we give the exact form of meromorphic solutions of the above equation under certain conditions. In addition, our results are shown to be sharp
Numerical Methods for Convex Quadratic Programming with Nonnegative Constraints
Full text linkThis paper deals with some problems in numerical simulation for convex quadratic programming with nonnegative constraints. For systems of ordinary differential equations which derived from the above mentioned problem, we construct a kind of new numerical method: the modified implicit Euler method. Under some restrictions for step-size, we obtained the numerical solution which satisfied with the termination condition. Compared with the classical Matlab command ODE23, the new method has ideal computation cost
New Types of Pythagorean Fuzzy Modules and Applications in Medical Diagnosis
Full text linkIn this article, we discuss several distinct categories of pythagorean fuzzy modules, study pythagorean fuzzy relations, and provide applications in the field of medical diagnosis. The concept of pythagorean fuzzy prime modules, along with its characteristics, is presented. In addition,an investigation is conducted into a pythagorean fuzzy multiplication module. Moreover, pythagorean fuzzy relations and pythagorean fuzzy homomorphisms are introduced. By making use of pythagorean fuzzy sets and pythagorean fuzzy relations., we propose a novel approach to the medical diagnosis process. This approach is achieved by pointing the smallest distance between the symptoms of the patients and the symptoms related to diseases
Modelling The Impact of Screening, Treatment and Underlying Health Conditions on Dynamics of Covid-19
Full text linkThis study formulated a SIRS classical mathematical model which is modified to incorporate the exposed and the treated individuals where COVID-19 is modelled. The model stratifies the population into two categories depending whether they have underlying health conditions or not, and describes disease transmission within or between the groups. Five compartments are considered in the model for each group that is; Susceptible individuals, exposed population, Infected individuals, treated population and the Recovered population. The objectives were to; Formulate a mathematical deterministic model based on classical SIRS model incorporating screening, treatment and underlying health conditions on covid-19 dynamics. Determine the Reproduction number and use it to analyze the model. Determining sensitivity analysis and Bifurcation. Simulating the model using data from the ministry of health. The Next generation matrix method was used to determine the basic reproduction number denoted of the proposed model. The results of the simulation indicated that the Disease Free Equilibrium is locally asymptotically stable whenever and globally asymptotically stable if . On the other hand, Endemic Equilibrium was globally asymptotically stable if .The results obtained showed that increasing the rate of screening and treatment on the exposed population and weakening the disease transmission route between the susceptible, exposed and infected population are crucial to curb the spread of COVID-19 virus. The Government of Kenya should advocate treatment and screening of the exposed and infected individuals
Investigating the Effects of Working Capital Management on Firm’s Profitability: An Empirical Evidence from Egyptian Firms.
Full text linkTo run the company successfully, the fixed and the current assets play a commendable role. Managing the working capital is mandatory because it has a major significance on profitability and liquidity of the business concern. Usually, it is observed that, if a firm wants to take a bigger risk for bumper profits and losses, it minimizes the dimension of its working capital in relation to the revenues it generates. If it is willing to improve its liquidity, that in turn raises the level of its working capital.
This research has analysed the impact of working capital on the profitability of a sample of 25 Egyptian companies listed in the Egyptian stock exchange for a period of 10 years from 2012-2021. The various components for measuring working capital management include the Receivable days, Current ratio, and Quick ratio on the Net operating profitability of Egyptian companies. The controlled variables like; Fixed assets on total assets, the Debt ratio, and the size of the firm (measured in terms of the natural logarithm of assets) have also been used for measuring working capital management. Descriptive Statistics, Pearson’s Correlation, and Regression Analysis are used for analysing this research. All these tests are used to correlate the theories contributed by the literature by several authors with the statistical results.
The results depict that, there is a positive relationship between the components of the working capital management and the profitability ratios of the Egyptian firms which indicate that, as the receivable days increase it would tend to reduce the profitability of the company. It is also observed that the negative relationship between the liquidity and the profitability of Egyptian firms. There is a positive relationship between the size and the profitability of the firm. This indicates that, as the size of the firm increases the profitability of the firm also increases. Finally, a negative relationship is observed between the debt and profitability of the Egyptian firms. The results derived from this research signify that the managers might be able to raise their profits by reducing the time for the debtors and inventories so that, time for payables would increase
On the computation of zeros of Bessel functions
Full text linkThe zeros of some chosen Bessel functions of different orders is revised using the well-known bisection method , McMahon formula is also reviewed and the calculation of some zeros are carried out implementing a recent version of MATLAB software.
The obtained results are analyzed and discussed on the lights of previous calculations