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Economic growth modeling is one of the methods a government can use to formulate appropriate economic policies to improve the prosperity of its people. Differential equations and stochastic models play a major role in studying economic growth. This article aims to conduct a literature review on the use of differential equations in relation to stochastics to model economic growth. In addition, this article also discusses the use of differential and stochastic equations in economic growth models in Indonesia. This study involves searching for and selecting articles to obtain a collection of research works relevant to the application of differential and stochastic equations to economic growth models, supported by bibliometric analysis. The results of this literature review show that there is still little research discussing economic growth models using differential equations combined with stochastic models, especially those applied in Indonesia. While the application of these models remains relatively limited, their potential to offer deeper insights into the complex dynamics of economic growth is undeniable. By further developing and refining these models, we can gain a more comprehensive understanding of the factors driving growth and the potential implications of various economic policies. This will ultimately equip policy-makers with a more powerful analytical tool for making informed decisions. [ABSTRACT FROM AUTHOR]

This research explores the complex dynamics of a Novel Four-Dimensional Fractional Supply Chain System (NFDFSCS) that integrates a quadratic interaction term involving the actual demand of customers and the inventory level of distributors. The introduction of the quadratic term results in significantly larger maximal Lyapunov exponents (MLE) compared to the original model, indicating increased system complexity. The existence, uniqueness, and Ulam–Hyers stability of the proposed system are verified. Additionally, we establish the global Mittag-Leffler attractive set (MLAS) and Mittag-Leffler positive invariant set (MLPIS) for the system. Numerical simulations and MATLAB phase portraits demonstrate the chaotic nature of the proposed system. Furthermore, a dynamical analysis achieves verification via the Lyapunov exponents, a bifurcation diagram, a 0–1 test, and a complexity analysis. A new numerical approximation method is proposed to solve non-linear fractional differential equations, utilizing fractional differentiation with a non-singular and non-local kernel. These numerical simulations illustrate the primary findings, showing that both external and internal factors can accelerate the process. Furthermore, a robust control scheme is designed to stabilize the system in finite time, effectively suppressing chaotic behaviors. The theoretical findings are supported by the numerical results, highlighting the effectiveness of the control strategy and its potential application in real-world supply chain management (SCM). [ABSTRACT FROM AUTHOR]

Indonesia suffers significant economic losses from floods, and state budget allocations are often inadequate. Flood bonds provide an alternative funding source, but the pricing framework is complex due to simultaneous flood and financial risk considerations. Therefore, this study aims to model flood bond prices as an alternative flood funding in Indonesia. The model is formulated using the risk-neutral-pricing measure with the stochastic assumption of the force of interest. The claim trigger is represented as maximum rainfall, which is modeled as a continuous-stochastic process with a discrete-time index. Given the varying patterns of rainy and dry seasons, we assume both durations are dynamic. Then, we provide the approximate model solution for the government to estimate bond prices quickly. This estimation shows that the bond's trigger point is proportional to the bond prices. Additionally, bond prices are proportional to the dry season duration and inversely proportional to the rainy season duration. We also show that using a stochastic force of interest yields significant differences from a constant one except for the constant as data average. This study can help the Indonesian government price flood bonds and provide more tools for related meteorological and climatological institutions to calculate the probability of future maximum rainfall. [ABSTRACT FROM AUTHOR]

Supply chains comprise various interconnected components like suppliers, manufacturers, distributors, retailers, and customers, each with unique variables and interactions. Managing dynamic supply chains is highly challenging, particularly when considering various sources of risk factors. This paper extensively explores dynamical analysis and multistability analysis to understand nonlinear behaviors and pinpoint potential risks within supply chains. Different phase portraits are used to demonstrate the impact of various factors such as transportation risk, quality risk, distortion, contingency reserves, and safety stock on both customers and retailers. We introduced a sliding mode control method that computes the sliding surface and its derivative by considering the error and its derivative. The equivalent control law based on the sliding surface and its derivative is derived and validated for control purposes. Our results show that the controller SMC can significantly enhance supply chain stability and efficiency. This research provides a robust framework for understanding complex supply chain dynamics and offers practical solutions to enhance supply chain resilience and flexibility. [ABSTRACT FROM AUTHOR]

This paper aims to design a quadratic optimization model of an investment portfolio based on value-at-risk (VaR) by entering risk-free assets and company liabilities. The designed model develops Markowitz's investment portfolio optimization model with risk aversion. Model development was carried out using vector and matrix equations. The entry of risk-free assets and liabilities is essential. Risk-free assets reduce the loss risk, while liabilities accommodate a fundamental analysis of the company's condition. The model can be applied in various sectors of capital markets worldwide. This study applied the model to Indonesia's mining and energy sector. The application results show that risk aversion negatively correlates with the mean and VaR of the return of investment portfolios. Assuming that risk aversion is in the 5.1% to 8.2% interval, the maximum mean and VaR obtained for the next month are 0.0103316 and 0.0138270, respectively, while the minimum mean and VaR are 0.0102964 and 0.0137975, respectively. The finding of this study is that the vector equation for investment portfolio weights is obtained, which can facilitate calculating investment portfolio weight optimization. This study is expected to help investors control the quality of appropriate investment, especially in some stocks in Indonesia's mining and energy sector. [ABSTRACT FROM AUTHOR]

Trapezoidal positive/negative fuzzy numbers have no single definition; instead, various authors define them in relation to different concepts. This means that arithmetic operations for trapezoidal fuzzy numbers also differ. For the operations of addition, subtraction, and scalar multiplication, there are not many differences; for multiplication, however, there are many differences. In general, multiplication is divided into various cases. For the inverse operation, there is not much to define; in general, for any trapezoidal fuzzy number u ~ ,   u ~ ⊗ 1 u ~ = i ~ = (1 , 1 , 0 , 0) does not necessarily apply. As a result of the different arithmetic operations for multiplication and division employed by various authors, several researchers have tackled the same problem and reached different solutions, meaning that the application will also produce different results. To date, many authors have proposed various alternatives for the algebra of the trapezoidal fuzzy number. In this paper, using the parametric form approach to trapezoidal fuzzy numbers, an alternative to multiplication with only one formula is constructed for various cases. Furthermore, based on the definition of multiplication for any trapezoidal fuzzy number, u ~ is constructed 1 u ~ so that u ~ ⊗ 1 u ~ = i ~ = (1 , 1 , 0 , 0) . Based on these conditions, we show that various properties that apply to real numbers also apply to any trapezoidal fuzzy number. Furthermore, we modify the elementary row operational steps for the trapezoidal fuzzy number matrix, which can be used to determine the inverse of a trapezoidal fuzzy number matrix with the order m × m . We also give the steps and examples necessary to determine the general inverse for a trapezoidal fuzzy number matrix of the order m × n with m   ≠ n . This ability to easily determine the inverse and general inverse of a trapezoidal fuzzy number matrix has a number of applications, such as solving fully trapezoidal fuzzy number linear systems and fuzzy transportation problems, especially in applications in fields outside of mathematics; for example, the application of triangular fuzzy numbers in medical problems is a topic currently receiving a significant amount of attention. [ABSTRACT FROM AUTHOR]

Chaotic systems are known to be extremely sensitive to initial conditions, meaning small changes can have a significant impact on the outcomes. By analyzing the average profit margin in relation to chaotic dynamics, companies can conduct sensitivity analysis to assess the potential impact of various factors on their profitability. This analysis can help identify critical variables or scenarios that may significantly affect profit margins. In this article, we have proposed a hyperchaotic financial system with hyperbolic sinusoidal non-linear variables applied to the average profit margin. Furthermore, we have investigated the stability of the hyperchaotic financial dynamics model to provide information to companies to assess the consistency and reliability of their profitability. In addition, fundamental dynamic behavior like Lyapunov exponents, bifurcation analysis, coexisting attractors have been reported. Finally, a nonlinear feedback control approach is developed to train an adaptive neural fuzzy controller. The application of Lyapunov theory confirms that this nonlinear feedback controller can effectively minimize the synchronization error within a finite duration. The results from simulations establish the effectiveness of the proposed neural fuzzy controller architecture in controlling the synchronization of two hyperchaotic financial models. Additionally, the simulation includes a comparison between the performance of the nonlinear controller and the adaptive neural fuzzy controller. [ABSTRACT FROM AUTHOR]

When designing a stock portfolio, investors must select stocks with different characteristics and increasing price trends and weigh each capital. Both are fundamental to diversifying loss and profit. Therefore, the mechanisms that accommodate both are needed. Based on this, this research aims to design a stock selection and capital weighing mechanism using the MACD-K-means-Mean-VaR model. The moving average convergence–divergence (MACD) is used to analyze stock buying time, providing trend, momentum, and potential price reversal insights. Then, stocks with increasing price trends are clustered using K-means, a grouping simple pattern data method based on specific characteristics. The best stocks from each cluster are capital weighted using the mean value at risk (mean-VaR), a portfolio optimization model adjusting loss possibility to the investor's acceptance tolerance. The mechanism is then applied to Indonesia's 100 stock index data to analyze variable sensitivities and compare it with another model. The application reveals that all variables significantly impact portfolio return mean and VaR, suggesting the need for clustering and analyzing stock price movements in stock portfolio design. This research academically develops a portfolio design mechanism by clustering stocks and analyzing price movement trends. It enables investors to practically diversify and choose stocks with increasing price trends, reducing losses and increasing profit opportunities. [ABSTRACT FROM AUTHOR]

The national scale of catastrophic losses risk linked to state catastrophe bonds (SCB) is enormous. It can reduce investors' interest in buying them because the capital required and the loss probability are also significant. To overcome this, the SCB can be made on a smaller regional scale, known as a regional catastrophe bond (RCB). Through RCBs, the catastrophic loss risk investors bear becomes smaller, which can increase investors' interest in buying them. Unfortunately, RCB issuance faced a fundamental obstacle, where its complex pricing model needed further study. Therefore, this study aims to model it. The model uniquely involves the inflation rate modeled using the Fisher equation and the nonbinary scheme of coupon and redemption value payments modeled by a compound Poisson process. In addition, the model is applied to Indonesia's catastrophe data, resulting in all provinces' RCB price estimation and the effects of several variables on RCB price. This research can guide the RCB pricing process of the country's regions. The estimated RCB prices can be used by Indonesia's government if RCBs are to be issued one day. Finally, the effects of the inflation rate, catastrophe intensity, and geographical location on RCB prices can guide investors in selecting bond portfolios. [ABSTRACT FROM AUTHOR]

In this work, we studied the complex behaviors of the fractional-order financial chaotic system, consisting of a simple, relatively chaotic system with two quadratic nonlinearities (QN) and a sextic nonlinearity (SN). We completed and enriched the results presented in the study of Subartini et al. (2021). As a result of this, our study focused more on the fractional order and adaptive finite-time sliding mode control in the financial risk chaotic system. The dynamical behaviors of the financial chaotic system (FCS) with two QN and an SN were analyzed, and the stability was investigated via the Cardano method. The stability analysis showed that the real part of all the roots was negative, which confirmed the stability of the new system under the typical parameters. By using the MATLAB simulation, these properties were characterized, including the phase portraits, 0-1 test, Poincaré map, bifurcation diagram, and Lyapunov exponent. The analysis showed that the financial risk chaotic system of fractional order was able to exhibit chaotic behavior and periodical behavior. In spite of external perturbations and uncertainty, an adaptive finite-time sliding mode control strategy was devised to guide the states of the financial chaotic system to the origin in a finite amount of time. MATLAB phase plots were employed in this study to illustrate all the main results. [ABSTRACT FROM AUTHOR]

This work proposes and investigates the existence and uniqueness of solutions of Riccati Fractional Differential Equation (RFDE) with constant coefficients using Banach's fixed point theorem. This theorem is the uniqueness theorem of a fixed point on a contraction mapping of a norm space. Furthermore, the combined theorem of the Adomian Decomposition Method (ADM) and Kamal's Integral Transform (KIT) is used to convert the solution of the Fractional Differential Equation (FDE) into an infinite polynomial series. In addition, the terms of an infinite polynomial series can be decomposed using ADM, which assumes that a function can be decomposed into an infinite polynomial series and nonlinear operators can be decomposed into an Adomian polynomial series. The final result of this study is to find a solution of the RFDE approach to the economic growth model with a quadratic cost function using the combined ADM and KIT. The results showed that the RFDE solution on the economic growth model using the combined ADM and KIT showed a very good performance. Furthermore, the numerical solution of RFDE on the economic growth model is presented at the end of this work. [ABSTRACT FROM AUTHOR]

(1) Background: The purpose of this research is to find out how product knowledge, benefit perception, and risk perception variables affect the decision to use e-wallets (Go-Pay). (2) Methods: The population used in this study is Indonesian students who used Go-Pay to carry transactions at Warunk Upnormal of Dipatiukur Branch, West Java, Indonesia. The sampling technique used by the author is a non-probability sampling technique. Meanwhile, the type of sampling used by the author is accidental sampling. Based on the calculations made, the sample used in this study is 100 Indonesian students. Furthermore, the research method used in this study is quantitative methods. Data analysis was carried out using structural equation modeling (SEM). (3) Results: this study indicates that the final product knowledge and perception of risk have a positive and significant effect on user satisfaction. The latent variable of perceived benefits has a negative and insignificant impact on the decision to use. (4) Conclusions: the latent variables of product knowledge and risk perception have a positive and significant effect on user satisfaction. Meanwhile, the latent variable of perceived benefits has a negative and insignificant impact on the decision to use the e-wallet. [ABSTRACT FROM AUTHOR]

The primary notion of sustainable development is to maintain a promising future for the planet and the next generation by raising the awareness of sustainable development of people around the world. This study seeks to foster and enhance more sustainable behaviour in households, workplaces, schools, and higher educational institutions; previous research has placed increasing attention on the identification of factors of pro-environmental behaviour. Accordingly, this study aims to examine the elements influencing the pro-environmental behaviour of employees in the workplace. A survey was performed from January to February 2020 on 150 public employees of an organisation in Terengganu. Out of 150 employees, only 84 participated and had their responses collected by using convenience sampling. Smart PLS-SEM was used in analysing the relationships between the variables. The result of this study found that green lifestyles have a significant positive effect on pro-environmental behaviour. However, the impacts of environmental commitment, environmental consciousness, green self-efficacy, and green human resource management were insignificant. This study provides data that were developed using a cross-sectional design; the assessment of causality among the constructs was a risky process. Furthermore, the study collected data from a single source, namely the employees, which would enhance the relationships through common method bias. The findings of this study also offered several managerial implications for green organisations. [ABSTRACT FROM AUTHOR]

Rikitake dynamo system (1958) is a famous two-disk dynamo model that is capable of executing nonlinear chaotic oscillations similar to the chaotic oscillations as revealed by palaeomagnetic study. First, we detail the Rikitake dynamo system, its signal plots and important dynamic properties. Then a circuit design using Multisim is carried out for the Rikitake dynamo system. New synchronous quasi-sliding mode control (QSMC) for Rikitake chaotic system is studied in this paper. Furthermore, the selection on switching surface and the existence of QSMC scheme is also designed in this paper. The efficiency of the QSMC scheme is illustrated with MATLAB plots. [ABSTRACT FROM AUTHOR]

The primary purpose of this study is to solve the economic growth acceleration model with memory effects for the quadratic cost function (Riccati fractional differential equation), using Combined Theorem of Adomian Polynomial Decomposition and Kashuri–Fundo Transformation methods. The economic growth model (EGM) with memory effects for the quadratic cost function is analysed by modifying the linear fractional differential equation. The study's significant contribution is to develop a linear cost function in the EGM for a quadratic non-linear cost function and determine the specific conditions of the Riccati fractional differential equation (RFDEs) in the EGM with memory effects. The study results showed that RFDEs in the EGM involving the memory effect have a solution and singularity. Additionally, this study presents a comparison of exact solutions using Lie symmetry, Combined Theorem of Adomian Polynomial Decomposition, and Kashuri–Fundo Transformation methods. The results showed that the three methods have the same solution. Furthermore, this study provides a numerical solution to the RFDEs on the EGM with memory effects. The numerical simulation results showed that the output value of Y(t) for the quadratic cost function in the economic growth model is significantly affected by the memory effect. [ABSTRACT FROM AUTHOR]

Industry 4.0 trends have a significant influence on the acceleration of technology in Indonesia. The development of financial technology has shifted conventional transactions to electronic money as a means of payment with a digital system. Electronic money users in Indonesia continue to grow, while several factors affect consumer decision making to use electronic money. This study aims to analyze the effect of financial literacy, practicality, and consumer lifestyle on consumer interest in using chip-based electronic money. This research uses a quantitative approach with primary data obtained through questionnaires to chip-based electronic money users. The analytical method used is Structural Equation Modeling (SEM) to verify the factors that determine the indicators of the findings of interest in the use of chip-based electronic money. The study results indicate that: (a) Financial literacy has a significant positive effect on interest in using chip-based electronic money by 14.6%; (b) Financial literacy has a significant positive effect on practicality in the use of chip-based electronic money by 51.8%; (c) Practicality in the use of chip-based electronic money has a significant positive effect on consumer lifestyles by 71.3%; (d) Practicality has a significant positive effect on the use of chip-based electronic money by 25%; and (e) Consumer lifestyle has a significant positive effect on the use of chip-based electronic money by 52.8%. The study results imply that it can be used as a consideration for making monetary policy in Indonesia, dealing with the rapid growth in the use of chip-based electronic money. [ABSTRACT FROM AUTHOR]

The global increase of urban solid waste in developing countries is creating highly significant challenges. There is a lack of research on sustainable waste management behavior (SWMB) among university academic staff. Hence, this study aims to examine the effect of attitude, subjective norm, and perceived behavior control on SWMB. This study employed the theory of planned behavior (TPB) as the underlying theory. This study's sample consisted of 252 academic staff from the top three sustainable universities in Malaysia listed by the UiGreenMetric in 2018. The academic staff were surveyed by using an online and self-administered survey and analyzed by using PLS-SEMThe results showed that attitude, subjective norms, and perceived behavioral control positively affect SWMB. This study makes significant contributions to both theory and practice. The study fills in the literature gap and supports the TPB theory. This study provides empirical evidence on the effect of main TPB variables, such as attitude, subjective norms, and perceived behavior control on SWMB through a quantitative research approach, exploring all three of the 3Rs to study academic staff's waste management behavior on campus. From the managerial perspective, this study's results provide empirical evidence on factors that affect SWMB among academic staff. This information is crucial to managers and policymakers to plan strategies to engage academic staff with SWMB. Managers and policymakers should focus on conducting more campaigns on sustainable waste management for academic staff. The campaigns would enhance academic staff's attitude, subjective norms, and perceived behavioral control towards practicing SWMB for a more sustainable campus in the future. [ABSTRACT FROM AUTHOR]

This work reports a new 4-D hyperchaotic four-scroll system with a unique saddle-point equilibrium at the origin. A detailed bifurcation analysis is presented to describe the dynamic properties such as Hopf bifurcation of the new hyperchaotic system. We show that the new hyperchaotic system is multistable with coexisting attractors. As an engineering application, an electronic circuit design is presented using Multisim. We illustrate that there is a good match between the MATLAB phase plots and Multisim outputs of the new hyperchaotic four-scroll system. The circuit design of the new hyperchaotic system facilitates engineering applications for the new hyperchaotic four-scroll system. [ABSTRACT FROM AUTHOR]