Asian Journal of Mathematics and Computer Research

The Role of Serverless Architectures in Revolutionizing FinTech Solutions

Anil Kumar Bayya — 2025-01-06

The evolution of serverless architectures has revolutionized how FinTech solutions are developed and deployed, offering a new paradigm for achieving scalability, cost-efficiency, and streamlined operations. Serverless computing, characterized by its event-driven model and pay-as-you-go billing, eliminates the need for managing the underlying infrastructure, allowing developers to focus solely on building and improving application functionality. This paper investigates the transformative impact of serverless technologies on the FinTech sector, highlighting their role in enhancing transaction processing, scalability, and operational efficiency. Key technologies such as AWS Lambda, Azure Functions, and Google Cloud Functions are analyzed for their specific contributions to the financial domain. These services enable FinTech applications to handle high transaction volumes dynamically while maintaining minimal latency and robust fault tolerance. Features like automatic scaling and integration with other cloud services make serverless platforms suited for real-time financial operations such as payment processing, fraud detection, and portfolio management. However, despite their numerous advantages, serverless architectures present unique challenges, including cold start latency, limited execution time, and compliance with industry standards like PCI DSS and GDPR. Strategies for overcoming these challenges are discussed, alongside best practices for optimizing serverless workflows. Real-world case studies demonstrate the successful implementation of serverless architectures in FinTech, showcasing significant improvements in performance metrics such as uptime, transaction throughput, and cost-effectiveness. The paper concludes with future perspectives on how serverless computing, combined with emerging technologies like artificial intelligence and blockchain, will continue to shape the FinTech landscape.

On Some Results Involving Many Variable Functions of Hardy Integral Inequalities

Yisa Oluwatoyin — 2025-01-15

Inequalities involving superquadratic and subquadratic functions of independent interest are established for refined Hardy-type inequalities using fairly elementary analytical ideas. The consequences of our main results are derived and the corresponding proofs are presented.

Flow of a Viscous Fluid Past a Porous Oblate Spheroid at Small Reynolds Number

Pravin Kumar Srivastava — 2025-01-16

This study deals with the uniform motion of an adhesive, incompressible fluid flowing over a porous oblate spheroid at tiny values of the Reynolds number. These types of problems have been considered by dividing fluid flow into three regions, namely, zone I, zone II, and zone III. In the zone I, which is completely filled with viscous fluid, is the region of the porous oblate spheroid, and in this region fluid flow is governed by the equation suggested by Brinkman. The zone II and the zone III, where the clear fluid flows, are the regions outside the porous oblate spheroid. The fluid flow in these two zones has been discussed using the perturbation method given by Proudman and Pearson in which the Stokes stream function is expanded in terms of Reynolds number. This solution is then matched with the Oseen solution, At the interface of zone II and zone I, the matching conditions suggested by Ochoa-Tapia and Whitaker are applied for matching the stream function of the clear fluid region with that of the porous region at the surface of the oblate spheroid. It has been found that the drag on the oblate spheroid reduces with that of the departure from the spherical shape. Similar effects of the drag on the spheroid are obtained when the permeability of the porous medium increases. Also, the drag experienced on the porous oblate spheroid is directly proportional to Reynolds number and the ratio of effective viscosity of the porous medium to the real viscosity of the fluid. The application of a viscous fluid flow past a porous oblate at low Reynolds number is to calculate the friction factor and drag in internal and external flow, hydraulics study, aerofoil design, filtration technology, geothermal energy, and precipitation.

Fixed Point Results for Contractive Mappings in F-metric Space

K. Rauf — 2025-01-16

In this research, the existence of fixed point and it's uniqueness were investigated in the setting of F-metric spaces, taking into account certain contractive conditions such as p-contraction and monotonically decreasing contraction. The findings extend and generalize a number of previously published findings.

Fixed Point Results in Modular S-Metric Space

B. Y. Aiyetan — 2025-01-17

In this work, some definitions, properties and propositions in modular S-metric space were given, existence, uniqueness and coincidence point of a fixed point results in the space were also provided using some general contractive conditions defined in modular S-metric space settings. Our results shows that existence and uniqueness of [L, ϕ] contraction is possible and also the coincidence of a fixed point for a specific rational contraction can be determined which improves on some results in the literature.

Application of Particle Swarm Optimization in Optimal Asset Allocation

Luu Thi Mai Loc — 2025-01-11

Particle Swarm Optimization (PSO) is an effective tool for solving nonlinear, non-convex optimization problems, offering a quick and efficient way to identify rational asset allocations. In PSO, each particle represents a specific asset allocation and moves within the search space to optimize the defined criteria. Particles update their positions based on personal experience (individual best) and the collective experience of the swarm (global best), gradually converging toward an optimal solution.

Research on applying PSO to asset allocation demonstrates that this algorithm not only optimizes expected returns but also minimizes risk in investment portfolios. With its adaptability and computational speed, PSO can become a valuable tool for investors in formulating flexible and effective asset allocation strategies in a volatile financial environment.