Journal Vol – 18 No -2, February 2023

Abstract:

In this paper, the author has presented the fundamental relations between stream function or current function,  and velocity potential or velocity function, φ which are ∂φ/∂x= ∂/∂y and ∂φ/∂y= - ∂/∂x where x,y,φ(x_(, ) y),  (x_(, ) y) are all real in two-dimensional fluid motions using real variables only whereas these relations had been established by using complex variables by Cauchy – Riemann which are known as Cauchy – Riemann equations in fluid dynamics.

Keywords:

Riemann equations,Quadratic equations,Rectangular Bhattacharyya’s Coordinates,Stream function,Theory of Dynamics of Numbers,Velocity potential,

Refference:

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XXXIX. White, F. M. (2003), Fluid Mechanics (5th ed.), New York: McGraw-Hil

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Abstract:

In this analysis, we apply prominent mathematical systems like the modified (G'/G)-expansion method and the variation of (G'/G)-expansion method to the nonlinear fractional-order biological population model. We formulate twenty-three mathematical solutions, which are clarified hyperbolic, trigonometric, and rational. Using MATLAB software, we illustrate two-dimensional, three-dimensional, and contour shapes of our obtained solutions. These mathematical systems depict and display its considerate and understandable technique that generates a king type shape, singular king shapes, soliton solutions, singular lump and multiple lump shapes, periodic lump and rouge, the intersection of king and lump wave profile, and the intersection of lump and rogue wave profile. Measuring our return and that gained in the past released research shows the novelty of our analysis. These systems are also capable to represents various solutions for other fractional models in the field of applied mathematics, physics, and engineering.

Keywords:

Nonlinear fractional order biological model, the modified -expansion method,the variation of -expansion method, mathematical solutions,nonlinear partial differential equations, lump, and rogue wave,

Refference:

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Abstract:

Employee contributions have been widely acknowledged as critical to the growth of startups. Due to a lack of established structure and a need for more resources, startup employees often put in long hours with high workloads. Employees often take on multiple roles within a startup, each tailored to the business's specific needs at any time. This results in employees being subjected to stress at work that could eventually lead them to become disloyal to their employers due to the difficulties associated with juggling work and personal duties. Therefore, this study examines how work-life balance affects employee loyalty based on the perception of employees working in startups in Kolkata, Bangalore, and New Delhi. With the help of statistical analysis techniques like correlation and regression analysis, this study takes a quantitative approach to the phenomenon being investigated, surveying 120 startup employees. The study's results indicate that a healthy work-life balance is associated with greater employee loyalty. This paper fills a vacuum in the literature and contributes significantly to the expanding body of research that prioritizes work-life harmony to retain loyal employees.

Keywords:

Work-life balance,Employee loyalty,India,Startups,

Refference:

I. Allen, N. J., & Grisaffe, D. B. (2001). Employee commitment to the organization and customer reactions: Mapping the linkages. Human Resource Management Review, 11(3), 209–236. https://doi.org/10.1016/S1053-4822(00)00049-8
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III. Bérastégui, P. (2021). Exposure to Psychosocial Risk Factors in the Gig Economy: A Systematic Review. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.3770016
IV. Chaudhari, S. L., & Sinha, M. (2021). A study on emerging trends in Indian startup ecosystem: Big data, crowd funding, shared economy. International Journal of Innovation Science, 13(1), 1–16. https://doi.org/10.1108/IJIS-09-2020-0156
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VII. Javalgi, R. (Raj) G., & Grossman, D. A. (2016). Aspirations and entrepreneurial motivations of middle-class consumers in emerging markets: The case of India. International Business Review, 25(3), 657–667. https://doi.org/10.1016/j.ibusrev.2015.10.008
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IX. Matzler, K., & Renzl, B. (2006). The Relationship between Interpersonal Trust, Employee Satisfaction, and Employee Loyalty. Total Quality Management & Business Excellence, 17(10), 1261–1271. https://doi.org/10.1080/14783360600753653

X. Mukul, K., & Saini, G. K. (2021). Talent acquisition in startups in India: The role of social capital. Journal of Entrepreneurship in Emerging Economies, 13(5), 1235–1261. https://doi.org/10.1108/JEEE-04-2020-0086
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XII. Rangrez, S. N., Amin, F., & Dixit, S. (2022). Influence of Role Stressors and Job Insecurity on Turnover Intentions in Start-ups: Mediating Role of Job Stress. Management and Labour Studies, 47(2), 199–215. https://doi.org/10.1177/0258042X221074757
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