Article Per Year (5 Year)
p-Index From 2020 - 2025
0.778
P-Index
This Author published in this journals
All Journal Al-Jabar : Jurnal Pendidikan Matematika Desimal: Jurnal Matematika International Journal of Applied Mathematics, Sciences, and Technology for National Defense
Al Husein, Fulkan Kafilah
Unknown Affiliation
Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Education Mathematics Physics Social Sciences

Published : 4 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 4 Documents
Search

 1 
All solutions of consecutive natural numbers sum equation and their closed forms Al Hazmy, Sofihara; Alkahfi, Cahya; Syazali, Muhamad; Al Husein, Fulkan Kafilah
Al-Jabar: Jurnal Pendidikan Matematika Vol 16 No 1 (2025): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v16i1.24476

Abstract

Purpose: This study aims to find a closed-form solution for all ordered pairs of natural numbers (?,?) satisfying the consecutive natural number sum equation 1 + 2 + ⋯ + ? sama dengan (? + 1) + (? + 2) + ⋯ + ?. This research contributes to number theory, particularly in the context of Diophantine equations.Method: The problem is solved analytically using Pythagorean triple theory and Pell's Theorem, which provides a rigorous mathematical framework for deriving solutions.Findings: The study reveals that there are infinitely many ordered pairs (?,?) of natural numbers that satisfy the equation. Furthermore, the solutions can be expressed in closed-form expressions for (??,??), where ? anggota ?, as follows:and Additionally, the ratio ??/?? approaches 1/akar2 as ? tends to infinity.Significance: The closed-form solutions provided in this study not only enhance our understanding of the consecutive natural number sum equation but also open avenues for further research in number theory fields, especially involving Diophantine equations. The findings have potential applications in theoretical and applied mathematics.
Ideal distribution route: An optimization approximation by using random search method Arsy, Abdu Afin; Shalih, Faris Alaudin; Al Husein, Fulkan Kafilah; Abdurrazzaq, Achmad
Desimal: Jurnal Matematika Vol. 7 No. 1 (2024): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v7i1.21580

Abstract

Distribution is the process of transferring goods from producers to consumers. In this process, both producers and consumers always expect a more efficient distribution system. One way to create an efficient distribution channel is by determining the ideal point for vital objects. By determining the ideal point, an optimal solution can be obtained in minimizing costs and improving the efficiency of the distribution system. This research discusses the determination of the ideal point using numerical optimization methods. Analytical and numerical approaches are used through the Modified Random Search method to formulate and analyze a mathematical model that can provide an optimal solution to the distribution problem. The proposed algorithm will be implemented to solve the energy distribution problem in the real environment. The aim is to test the effectiveness and accuracy of the proposed algorithm based on the solutions obtained. Based on the experimental results, distribution problems in general and energy distribution in particular are addressed better, and the distribution process is more efficient.
Bibliometrix research of noise removal techniques in digital images for defense Al Husein, Fulkan Kafilah; Al Habsy, Muhammad Yusuf; Christi, Damaris Nugrahita; Hutagaol, Agnes Emanuela; Junoh, Ahmad Kadri bin
International Journal of Applied Mathematics, Sciences, and Technology for National Defense Vol 3, No 1 (2025): International Journal of Applied Mathematics, Sciences, and Technology for Natio
Publisher : FoundAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/app.sci.def.v3i1.463

Abstract

In modern defense applications, the accuracy and clarity of digital images are crucial, especially for tasks like surveillance, reconnaissance, and intelligence gathering. However, noise introduced during image acquisition or transmission significantly degrades image quality. This paper presents a comprehensive review of various noise removal techniques employed in digital image processing for defense systems. The review focuses on both linear and non-linear methods, including matrix decomposition, hybrid deep learning, Generative Adversarial Networks (GANs), and trimming filters. Emphasis is placed on the effectiveness of each technique in enhancing image quality while preserving critical details. The use of linear and non-linear methods such as deep learning-based approaches is shown to outperform traditional linear filters in handling complex noise patterns, particularly in scenarios requiring precise object detection and image restoration. The paper highlights a comprehensive overview of the researched literature and shows the latest trends and developments in the field. Finally, recommendations for future research and the development of more robust noise reduction methods are provided, aiming to improve operational effectiveness in defense applications.
The conceptual model to improve failure risk management water distribution system using ordinary differential equation model to support water resilience in military residential facilities Al Husein, Fulkan Kafilah; Syazali, Muhamad; Saidat, Suhaila; Irsalinda, Nursyiva; Farid, Fajri
International Journal of Applied Mathematics, Sciences, and Technology for National Defense Vol 2, No 3 (2024): International Journal of Applied Mathematics, Sciences, and Technology for Natio
Publisher : FoundAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/app.sci.def..v2i3.341

Abstract

Water resilience is still big problem in Indonesia.  In border and underdeveloped areas in Indonesia, the use of water sources is still considered not resilience. Especially in military context, where water needs are bigger and also more fundamental, this water resilience problem demanding a comprehensive solution. To address this issue, this research proposes the use of ordinary differential equations as a mathematical tool to model the dynamics of system damage over time, consumption, maintenance scheme, water crisis scheme, and other factors affecting water distribution resilience in military facilities. This journal presents a conceptual model of failure risk management water distribution system using a differential equation model approach to support water resilience. Specifically, the derivation of failure equation in the “reliability and maintenance system technical” textbook will be the basic reference for generating mathematical model. It is used because our model will be focused in improving failure risk management. By using the model, there are a lot of problem will be tackled such as Identify and manage failure risks in the water supply system, design an efficient water distribution maintenance scheme, and predict how strong the system to face water crisis. But before the model applied, the prediction of model will be tested by applying it in form of computer program. The case study of this research will be focused in testing the model in form of computer program with some simplicity and assumption. Through this approach, it is expected to find solutions that improve water usage efficiency, support the well-being of military personnel, and contribute to national water resilience to bolster national defense especially in case of water crisis happened. This research holds significant benefits for scientific advancement by providing a conceptual model that can serve as a reference for future research. It has the potential to make a tangible contribution but also still need so much development especially for application in real data, adding others variables that can be included for next research, conducting the interpretation, and better defining the measurement boundaries.
Co-Authors Abdurrazzaq, Achmad Al Habsy, Muhammad Yusuf Alkahfi, Cahya Arsy, Abdu Afin Christi, Damaris Nugrahita Farid, Fajri Hutagaol, Agnes Emanuela Irsalinda, Nursyiva Junoh, Ahmad Kadri bin Muhamad Syazali Saidat, Suhaila Shalih, Faris Alaudin