Faculty of Mathematics and Computer Science
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Item Open Access A collocation method to solve the linear VolterraFredholm integral equations via Vieta-Pell Lucas polynomials(Université Mohamed Boudiaf de M’sila, Faculté des Mathématiques et de l’Informatique, Département de Mathématiques, 2024-06-10) Guidah, Khadidja; DJAIDJA, Noui : EncadreurL'objectif de ce mémoire est de trouver des solutions approximatives à l'équation intégrale de Volterra-Fredholm du deuxième espèce en utilisant les polynômes de Vieta-Pell-Lucas. Des exemples sont donnés pour vérifier l’efficacité de la méthode proposée.Item Open Access A Community Platform for Designers: Fostering Collaboration and Creativity(University of Mohamed Boudiaf, M’sila, 2024-06) Amroune, Adem Mahmoud; BRAHIMI, Mahmoud: SupervisorWith the evolution of the Internet from static pages to complex, multi-tasking platforms post-Web 2.0, it has become a crucial tool for communication and collaboration. Our project aims to develop a website for the Algerian creative community to enhance design skills. This platform will enable users to showcase their skills, search for talents, and communicate with other professionals, serving as a hub for publishing work, selling digital assets, and gaining inspiration. Additionally, the platform will provide opportunities for professional development and enhance communication, ensuring an interactive and vibrant space that encourages Algerian designers to thrive.Item Open Access A Comparative Analysis of Density Based Clustering Algorithms in Complex Datasets(Mohamed Boudiaf University of M'sila, 2025-06-15) CHAIMA, BOUZIDI; NESSRINE KHAWLA, ABDELLAOUI; Reporter: BILAL, LounnasThis dissertation conducts a comparative analysis of density-based clustering algorithms, fo cusing on their performance in complex datasets. The study examines popular algorithms such as DBSCAN, OPTICS, and HDBSCAN, evaluating them across diverse criteria, in cluding cluster quality, computational efficiency, and robustness to noise. Through exper iments on real-world and synthetic datasets, the research aims to identify the strengths and limitations of each algorithm, providing valuable insights for selecting appropriate methods in various data mining applications.Item Open Access A Comparative Study of Overlapping Community Detection Algorithms in Social Networks(Mohamed Boudiaf University of M'sila, 2025-06-15) Wiam, Chami; Imane, Radja; Supervisor: Bilal, LOUNNASMany real-world complex systems can be modeled as social networks, which reveal impor tant features such as overlapping communities. Overlapping communities reflect the multiple memberships and interconnections of elements within the network, with wide applications in social behavior analysis, recommendation systems, and cybersecurity. This research provides a comprehensive comparative study of overlapping community detection algorithms, clarify ing their concepts, classifications, and challenges. We conduct experimental evaluations of prominent algorithms on real and synthetic datasets using standard evaluation metrics. The study aims to offer recommendations for choosing the best algorithm depending on the ap plication context and network typeItem Open Access A digital academy to learn programming, artificial intelligence and IT filde(Mohamed Boudiaf University of M'sila, 2025-06-15) Houssam Eddine, Amroune; Supervisor: Samir, AkhroufIn this rapidly changing digital world, education systems across the globe have seen profound transformations, notably in response to the COVID-19 pandemic. The pandemic not only revealed the limitations of typical in-person educational experiences but also illuminated the bright light of scalable, inclusive innovation in digital learning. Against this backdrop, Algeria (like many other developing countries) faces enormous challenges when trying to provide modern IT education that fits the growing demand of an increasingly digital workforce, and the competitive demands of a global job market. This thesis proposes a systematic design for a digital academy focused on programming, artificial intelligence (AI), and information technology (IT), specifically in the Algerian context. The platform aims to develop a bridge between traditional education and the need for practical, accessible, and high-quality technical training, by offering a holistic educational ecosystem comprised of an advanced Learning Management System (LMS), interactive course content, real-time assessment, and community-based engagement, all presented in both Arabic and English. The research begins with the literature review that highlights digital learning platforms globally, in the Arab world, and in Algeria; and describes the implications of important strengths, weaknesses, and shortcomings to the online presence contents and their structure, user experience, pedagogical design, and potential improvements to align with the developing needs of labor markets. An analysis of the original platforms was conducted using qualitative and quantitative analyses which provided a detailed comparison of the existing educational systems in Algeria which are unstructured, offer little interactivity and are unsecured for financial transactions, as all educational offerings were relying on social media access links (Facebook, YouTube) or online learning materials (educational resources, references, documents). Informed by the analysis, a rigorous requirements analysis was then conducted, to develop a valid set of functional and non-functional requirements and specifications, while also adapting the recommendations to suit the sociotechnical particularities of the context of Algeria. These included access to limited infrastructure particularly in rural areas, linguistic and cultural diversity including the Arabic and Tamazight languages, and aligning curriculum design with the national strategy for digital transformation and a youth employment strategy. The platform and architecture represent good brief design choices to create the modular, scalable development model discussed in the literature review using the Waterfall development model. The unrestricted multi-featured LMS and the existing online transaction payment system; online and home care tutorials; progress boards and tracking functions; a variety of collaborative features, such as discussion forums, live chat, and the development of multiple types of course offerings in programming and artificial intelligence. Other issues such as access to the LMS; access to multilingual environments; access that is mobile compatible; and ensuring inclusivity and accessibility across a range of users were also resolved. Ultimately, this thesis advocates for a sustainable, locally relevant digital learning model that not only enhances technical education in Algeria but also supports national goals in economic development, digital sovereignty, and human capital formation. The proposed digital academy represents a foundational step towards a more connected, skilled, and VI digitally empowered Algerian society. Future work will focus on platform implementation, pilot testing with real users, and continuous improvement based on feedback and evolving technological trends.Item Open Access A Free Surface Flow under Gravity(Mohamed Boudiaf University of M’sila, Faculty of Mathematics and Computer Sciences, Departement of Mathematics, 2024-06-05) Saadi, Manel; Bounab, Nadia: SupervisorIn this thesis , we have studied numerically a problem of two-dimensional potential flow in a channel with trapezoidal obstacle in the bottom , witch makes an angle = with the axis (xox ) taking into account the effect of gravity but surface tension efforts are neglected. We have used some conformal transformations and series truncation technique for obtain the numerical solution.Item Open Access A Mobile Application for Mapping Forest Fire Risk in Algeria using GIS-AHP Method(Mohamed Boudiaf University of M'sila, 2025-06-15) Mohammed Amine, LOUMI; Manar, GUERRA; Supervisor1: Samir, Akhrouf; Supervisor2: Kahina, LoumiForest fires are among the most dangerous environmental phenomena affecting ecosystems and biodiversity, especially in Algeria, where their intensity increases due to climatic and human factors. This study aims to develop a mobile application for mapping forest fire risks in Algeria using Geographic Information Systems (GIS) and the Analytic Hierarchy Process (AHP), with the goal of identifying high-risk areas and analyzing the factors influencing their spread. The application integrates and analyzes various data, primarily climate factors such as temperature and humidity, as well as population density, allowing for the creation of interactive maps that accurately display risk levels. This approach helps decision-makers and relevant authorities improve prevention strategies and resource management effectively, thereby reducing the losses caused by wildfires. The study results showed that combining GISandAHPprovides a precise and effective tool for assessing forest fire risks. Spatial geographic analysis enables the prioritization of interventions and directs efforts towards the most threatened areas. This application proves to be a valuable tool in supporting planning and decision-making processes, making it an essential asset for environmental risk management and forest protection in Algeria.Item Open Access A MULTI-OBJECTIVE OPTIMIZATION ALGORITHM FOR SOLVING ENGINEERING PROBLEMS(Mohamed Boudiaf University of M'sila, 2024) BOUDJAMLINE, Rayhana; CHALABI, Nour elhouda: Supervisor"Human-inspired algorithms are part of metaheuristic algorithms, thus providing a suitable way to find solutions to real-world engineering problems. We also see a growing interest in these methods. The main motivation behind the proposal of the multiobjective algorithm MOCBOA is based on single-objective CBOA algorithm, In this algorithm, we combined domination and added solution archive, then tested it on some engineering problems, especially design problems. mechanical The results showed that the MOCBOA algorithm generated solutions for all problems, with significantly better performance than the comparison algorithms on the problem (Pressure vessel design and Vibrating platform design, Disc brake design, Speed reducer design), which confirms. its efficiency and ability to solve problems."Item Open Access A study of Deformable and Conformable Laplace Transform and its applications(Mohamed Boudiaf University of M'sila, 2025-06-15) Faiza, Chebabha; Supervisor: Nassim, FERAHTIAIn this dissertation, we studied the deformable and conformable Laplace transform, where we gave exact solutions of fractional differential equations with a fractional derivative called the deformable fractional derivative of order α, where 0 < α ≤ 1. Also we studied the conformable fractional Laplace transform of the fractional Chebyshev and Legendre polynomials.Item Open Access A Web-based Platform for Healthcare with Different Services(University Mohamed Boudiaf of M’sila, Faculty of Mathematics and Informatics, Department of Computer Science, 2024-06) Ben Dahmane, Dhiya El Haq; Kouriche, Oussama; Debbi, Hichem: SupervisorHealthcare management systems revolutionize patient care by replacing paper charts with digital records, allowing doctors instant access to comprehensive patient histories. These platforms also empower patients, enabling them to schedule appointments online and review their medical data securely. In the rapidly evolving technological landscape, new architectures and approaches have emerged to address the limitations of traditional systems. Multi-tenancy architectures have become a necessity, providing added architectural value for companies with virtualized systems (Cloud, Fog, Edge, etc.) and a valuable skill set for engineers and developers. To address the ambiguity surrounding this architectural trend, our contribution to this work (focused on application rather than research) is based on the use of the highest degree of multitenancy architecture, "unique database," when designing and building a Cloud Software-as-aService (SaaS) application. This approach aims to demystify the conceptual and programming complexities associated with this architectural trend, leveraging a SaaS application tailored for healthcare establishments that supports the demands of its tenants. To realize this distinguished multi-tenant SaaS application, the Laravel Framework has been targeted in this thesis. By adopting a multi-tenancy architecture with a unique database, the proposed healthcare cabin management platform offers a scalable and efficient solution for healthcare providers.Item Open Access AachabOnt: an ontology for alternative medicine(University of M'sila, 2015-06-10) HARKAT, Zohra; Supervisor: BRAHIMI, Mahmoud; Supervisor: Fernini, BelabdelouahabIn recent years, the field of alternative medicine (Phytotherapy) knew a big evolution and became popular for several reasons. In addition to its high therapeutic value, it does not cost much. We have developed an ontology containingthe most important information on medicinal plantsand the diseasesthey treat. The method used was METHONTOLOGY. It was implemented by the use of the Protégé programand evaluatecl by the useof FaCT++-inference engine. The AachabOnt ontology was saved in the RDF language. To allow users utilize the AachaOnt ontology, we have developed a website that allows research through the use of Jenatechnology and the SPARQL and JSP query languages.Item Open Access ABEL’S INTEGRAL EQUATIONS BY LAPLACE TRANSFORM(Faculty of Mathematics and computer sciences Department of Mathematics - Option : Mathematical and numerical analysis, 2021) Abassi, YaminaIn this paper, we have use the Laplace transform for the solution of Abel's Integral Equation and some numerical example are given to demonstrate the effectiveness of Laplace transform for the solution of Abel's Integral Equation.Item Open Access About basic concepts of fuzzy sets and some of their applications(Faculté de Mathématiques et Informatiques - Département de Mathématiques, 2021) شنفاوي, وهيبةيعتبر المنطق الضبابي والمجموعات الضبابية من المواضيع الأساسية في ميدان الر ياضيات وتطبيق لذلك يستعمل في ميادين أخري مثل علم الحاسوب، الأنظمة التي تستعمل الذكاء الصناعي، معالجة الصور ... ولتسليط الضوء على هذا الموضوع إرتأينا أن نتقدم بحثنا هذا تحت عنوان: المفاهيم الأساسية حول المجموعات الضبابية وبعضتطبيقاتها. و هو ترجمة لكثير من الأعمال القاعدية و الأساسية في المجموعاتالضبابية وتطبيقاتها . [ 17 ,7 ,16 ] ، إلى اللغة العربية مع التقيد بالحفاظ على المضطلحاتالعلمية المترجمة في الأعمال السابقة [ 5 ,1 ]Item Open Access Accélération de la résolution des systèmes d’équations non linéaires par décomposition et parallélisation.(UNIVERSITE MOHAMED BOUDIAF - M’SILA FACULTE DES MATHEMATIQUES ET DE L’INFORMATIQUE DEPARTEMENT D’INFORMATIQUE- Spécialité : Informatique Décisionnel et Optimisation, 2019) BELOUADAH, Allaoua TaiebLa résolution des systèmes d’équations non linéaires avec les méthodes générales sont coûteuses en temps de calcul et en espace dans le cas de grands systèmes, pour cette raison toute méthode d’accélération est intéressante. Dans ce mémoire nous présentons une méthode d’accélération de la résolution par décomposition et parallélisation, nous utilisons l’algorithme de Dulmage-Mendelsohn pour décomposer les systèmes en sous-systèmes irréductibles. Nous utilisons l’architecture client /serveur et les sockets pour la parallélisation.Item Open Access Action d’un groupe et symétrie(FACULTE DES MATHEMATIQUES ET DE L’INFORMATIQUE - UNIVERSITE MOHAMED BOUDIAF - M’SILA, 2017) Selikh et Abdelhafid, Bilel et MohammedDans ce mémoire traite les actions de groupes symétrique Sn sur un ensemble fini et applications aux problèmes de dénombrement et symétrie de certaine figure géométrique dans le plan et dans l'espace.Item Open Access Adaptation de la méthode coucou pour la résolution du problème job shop(FACULTE DES MATHEMATIQUES ET DE L’INFORMATIQUE DEPARTEMENT D’INFORMATIQUE, 2018) LANNAK, HANANELes problèmes d’ordonnancement d’atelier sont souvent classés NP-Difficiles. Leur résolution nécessite des méthodes dédiées à leur degré de complexité ; pour cette raison plusieurs heuristiques et méta-heuristiques ont été conçues. L’objectif de cette thèse est de proposer des méthodes pour la résolution de problème d’ordonnancement job shop Dans ce travail : nous avons développé une approche basé sur la recherche Coucou pour la résolution du problème job shop afin de minimisons la date de fin de toutes les opérations .Dans cette approche nous proposons une nouvelle représentation du nid et différentes stratégie de tri.Item Open Access Adaptation et implémentation de la méthode des réseaux de neurone pour la prédiction des structures secondaires de protéine(FACULTE DES MATHEMATIQUES ET - UNIVERSITE MOHAMED BOUDIAF - M’SILA, 2016) Benseni, NoureddineLa prédiction des structures secondaire des protéines est une étape importante sur le chemin pour définir sa structure tridimensionnelle et sa fonction. Tandis que les techniques expérimentales qui jouent le rôle de prédire la structure secondaire (diffraction des rayons X, Résonnance Magnétique Nucléaire) sont devenues très couteuses et trop lentes aux résultats souvent douteux avec un volume d’information qui ne cesse de croitre. Devenir une approche logique le recours vers les méthodes d’apprentissage automatique. Ce travail est une approche fondée sur l’apprentissage automatique à travers les réseaux neuronaux multicouches pour prédire des structures secondaire des protéines à partir de la séquence des acides aminés, et nous avons essayé dans ce travail d’implémenter et adapter les réseaux de neurones afin d’atteindre un pourcentage de prédiction assez acceptable.Item Open Access Adaptation et implémentation de la méthode des réseaux de neurone pour la prédiction des structures secondaires de protéine(University of M'sila, 2016-06-10) Benseni, Noureddine; Rapporteur: Yagoubi, RachedLa prédiction des structures secondaire des protéines est une étape importante sur le chemin pour définir sa structure tridimensionnelle et sa fonction. Tandis que les techniques expérimentales qui jouent le röle de prédire la structure secondaire (diffraction des rayons X, Résonnance Magnétique •Nucléaire) sont devenues tres couteuses et trop lentes aux résultats souvent douteux avec un volume d'information qui ne cesse de croitre. Devenir une approche logique le recours vers les méthodes d' apprentissage automatique. Ce travail est une approche fondée sur l'apprentissage automatique å travers les réseaux neuronaux multicouches pour prédire des structures secondaire des protéines å partir de la séquence des acides aminés, et nous avons essayé dans cetravail d' implémenter et adapter les réseaux de neurones afin d'atteindre un pourcentage de prédiction assez acceptable.Item Open Access ADAPTED SOLUTION WITH NEWTON-KANTOROVICH METHOD FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS(Université de M'sila, 2018) AMINA, KHIRANIFind an approximate solution is one of the most important problems in our days, in this paper we look for an approximate solution for Volterra nonlinear integral equation using a combination between Newton-Kantorovich method and adapted trapezoidal method. Then we do a comparaison between the numerical results obtained by this method against ones obtained by another authors.Item Open Access Adjoint d’opérateurs lipshitziens(University of M'sila, 2012-06) LOUGLAIB, Akila; Rapporteur: MEZRAG, L.Dans ce travail nous avons étudié le concept et quelques propriétés de l’1Tadjoint des opérateurs non linéaires (lipschitziens) à partir de l’adjoint des opérateurs linéaires bornés1T.