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The purpose of this study is to solve two unique but difficult partial differential equations: the foam drainage equation and the nonlinear time-fractional fisher’s equation. Through our methods, we aim to provide accurate solutions and gain a deeper understanding of the intricate behaviors exhibited by these systems.

In this study, we use a dual technique that combines the Aboodh residual power series method and the Aboodh transform iteration method, both of which are combined with the Caputo operator.

We develop exact and efficient solutions by merging these unique methodologies. Our results, presented through illustrative figures and data, demonstrate the efficacy and versatility of the Aboodh methods in tackling such complex mathematical models.

Owing to their fractional derivatives and nonlinear behavior, these equations are crucial in modeling complex processes and confront analytical complications in various scientific and engineering contexts.

Little is known about how religious-related beliefs (i.e. karmic beliefs and beliefs in a just world) might affect consumers to engage in more environmentally friendly behavior. Drawing on the justice motive theory, this study aims to explore the individual, complementary, congruent and incongruent impacts of karmic beliefs and belief in a just world on consumers’ proenvironmental consumption.

A sample of 736 consumers was recruited by means of a mall-intercept survey in the most populus cities in Vietnam. An advanced technique – polynomial regression with response surface analysis – was used to test the hypothesized model, whereas the PROCESS macro approach was used to estimate indirect effects.

The findings indicate that while karmic beliefs do not directly affect proenvironmental consumption, they can inspire environmentally friendly behaviors through belief in a just world. High levels of both beliefs enhance proenvironmental consumption, but imbalanced levels erode such behaviors. Importantly, the findings revealed gender differences concerning the role of religious beliefs in influencing proenvironmental consumption among male and female consumers.

The findings of this study offered several theoretical and managerial implications for proenvironmental consumption.

The research provides new insights into how religious beliefs (karmic beliefs and belief in a just world) affect, interact, balance and imbalance with each other to trigger proenvironmental consumption. The research also contributes to the sustainable consumption literature by indicating the mediation roles of belief in a just world and proenvironmental consumption intention in the relationship between beliefs in karma and actual proenvironmental consumption behavior, as well as offering empirical evidence about the gender differences regarding these relationships.

The migration of physicians is a global interest, causing imbalances between developed and developing countries. Romania is one of Europe's major providers of physicians, not because there is a surplus, but because physicians are drawn to places with better living and working conditions. Medicine in Romania is increasingly highly advanced, and Romanian physicians are well appreciated all over the world. Despite being one of the countries with the most medical graduates in the world, Romania is suffering a doctor exodus. After joining the EU, the problem of physician migration became widespread, resulting in a deficient and inefficient healthcare system. Therefore, the purpose of this study is to estimate the losses registered by Romania because of physicians' decision to migrate.

These losses were calculated in two ways: utilizing the statistical life value and the amount of money invested in training a medical graduate.

According to the findings, the losses in 2018 were 104.16 million euros, approximately 0.12% of GDP.

The originality of this paper consists in data, being provided by the College of Physicians from Romania and the method used, this study being the only one that estimates the cost of Romanian physicians' migration. The paper adds to existing knowledge an empirical results regarding quantifying the value reflecting the departure of physicians, using value of statistical life and the amount of money invested in preparing a medical graduate.

This study aims to investigate the connection between digital literacy and women’s empowerment in the rural Himachal Pradesh. It explores how improved digital skills contribute to increased empowerment among women with a specific focus on the role of education in enhancing digital literacy.

This study included 250 rural participants who completed structured questionnaires. Analytical tools, including independent-sample t-tests and partial least squares structural equation modeling, were applied to the data to gain insights into the relationship between digital literacy and women’s empowerment.

This study revealed a significant positive link between digital literacy and women’s empowerment in the rural Himachal Pradesh context. Education has emerged as a key factor that influences women’s digital skills and empowerment levels.

This research adds novelty by examining the digital literacy–women’s empowerment nexus in rural Himachal Pradesh and emphasizing the impact of education. The combination of statistical methods offers a robust approach to understanding this relationship and underscores the importance of digital inclusion and education for gender equality and women’s progress.

This research intends to investigate the determinants that affect consumers’ purchase intention of electric vehicles (EVs) in Malaysia using an extended theory of planned behaviour (TPB).

Survey data were collected with a sample size of 306. The research used SmartPLS 4.0 structural equation modelling tool to analyse the data. Reliability and validity tests (discriminant and convergent validity) were used and subsequently assessed the measurement and structural models. Mediation analysis was conducted to identify the role of the latent constructs.

The findings indicated that a green purchase attitude plays a complete mediation role in the effect of environmental knowledge on the purchase intention of EVs. In the same notion, the effect of price perception and availability of charging facilities on the purchase intention of EVs passes completely through perceived behavioural control. However, the subjective norm was an insignificant mediator of the impact between government support and EV purchase intention.

This paper helps to examine the latent constructs that impact purchase intention using environmental knowledge, government support, price perception and the availability of charging facilities. Successful green marketing and a sustainable consumerism framework are seen as a booster to promote the usage of EVs in Malaysia.

An extended TPB model has been employed in this research to study the effects of the above-mentioned constructs. The results show that most of the extended constructs are significant in explaining the purchase intention. The empirical results address the gap in the consumer green attitude and provide insight into this area of study.