• Basic theory of s-posets 

  Kandemir, Mustafa Burç (Springer Science and Business Media Deutschland GmbH, 2023)

  In this paper, we have established the notions of soft order relations and studied its basic structural properties. We give the concepts of soft maximum, soft minimum, soft maximal, soft minimal, soft infimum and soft ...

• Towards solving linear fractional differential equations with Hermite operational matrix 

  Koşunalp, Hatice Yalman; Gülsu, Mustafa (TBILISI CENTRE MATH SCI, 2023)

  This paper presents the derivation of a new operational matrix of Caputo fractional derivatives through Hermite polynomials with Tau method to solve a set of fractional differential equations (FDEs). The proposed algorithm ...

• A Numerical Scheme for Time-Fractional Fourth-Order Reaction-Diffusion Model 

  Koç, Dilara Altan (CZESTOCHOWA UNIV TECHNOLOGY, INST MATHEMATICS, 2023)

  In fractional calculus, the fractional differential equation is physically and theoretically important. In this article an efficient numerical process has been developed. Numerical solutions of the time fractional fourth ...

• Novel Graph Neighborhoods Emerging from Ideals 

  Çaksu Güler, Ayşegül; Balcı, Mehmet Ali; Batrancea, Larissa M.; Akgüller, Ömer; Gaban, Lucian (MDPI, 2023)

  Rough set theory is a mathematical approach that deals with the problems of uncertainty and ambiguity in knowledge. Neighborhood systems are the most effective instruments for researching rough set theory in general. ...

• A soft set theoretic approach to network complexity and a case study for Turkish Twitter users 

  Akgüller, Ömer (Elsevier Ltd, 2023)

  There are a few different angles from which to examine the question of how to determine whether social networks, which belong to the category of complex systems, are neither totally regular nor totally arbitrary. The theory ...

• A numerical algorithm for solving one-dimensional parabolic convection-diffusion equation 

  Koç, Dilara Altan; Öztürk, Yalçın; Gülsu, Mustafa (Taylor and Francis Ltd., 2023)

  A numerical method for solving one-dimensional (1D) parabolic convection–diffusion equation is provided. We consider the finite difference formulas with five points to obtain a numerical method. The proposed method converts ...

• Empirical investigation on how wellbeing-related infrastructure shapes economic growth: Evidence from the European Union regions 

  Batrancea, Larissa M.; Nichita, Anca; Balcı, Mehmet Ali; Akgüller, Ömer (PMC, 2023)

  One of the most important policies of the European Union is regional development, which comprises measures of enhancing economic growth and citizens' living standards via strategic investment. Considering that economic ...

• Path-Based Visibility Graph Kernel and Application for the Borsa Istanbul Stock Network 

  Balcı, Mehmet Ali; Akgüller, Ömer; Batrancea, Larissa M.; Gaban, Lucian (MDPI, 2023)

  Using networks to analyze time series has become increasingly popular in recent years. Univariate and multivariate time series can be mapped to networks in order to examine both local and global behaviors. Visibility ...

• Discrete Geodesic Distribution-Based Graph Kernel for 3D Point Clouds 

  Balcı, Mehmet Ali; Akgüller, Ömer; Batrancea, Larissa M.; Gaban, Lucian (MDPI, 2023)

  In the structural analysis of discrete geometric data, graph kernels have a great track record of performance. Using graph kernel functions provides two significant advantages. First, a graph kernel is capable of preserving ...

• A Series-Based Deep Learning Approach to Lung Nodule Image Classification 

  Balcı, Mehmet Ali; Batrancea, Larissa M.; Akgüller, Ömer; Nichita, Anca (MDPI, 2023)

  Although many studies have shown that deep learning approaches yield better results than traditional methods based on manual features, CADs methods still have several limitations. These are due to the diversity in imaging ...

• Flipped Learning Model - Learning Style Interaction: Supporting Pre-service Teachers on Science Teaching Methods and Personal Epistemologies 

  Çigdemoğlu, Ceyhan; Arslan, Harika Özge; Çam, Aylin (International Council of Associations for Science Education (ICASE), 2023)

  This study revealed how the flipped learning model interacted with the learning styles of primary pre-service teachers. In addition, the impact of the flipped model on participants' science teaching course achievement and ...

• Jeodezi Dagılımı Temelli Graf Çekirdegi ve 3B Nokta Bulutu Uygulamaları 

  Akgüller, Ömer; Balcı, Mehmet Ali (EEEAG, 2022)

  Nokta bulutları, veri kümeleri için en temel çok yönlü temsillerden biridir. Nokta bulutlarının elde edilmesini saglayan kaynaklardan biri, birçok disiplinde de uygulamaları olan lazer menzil tarayıcıları gibi 3B sekil ...

• Sources of SMEs Financing and Their Impact on Economic Growth across the European Union: Insights from a Panel Data Study Spanning Sixteen Years 

  Balcı, Mehmet Ali; Batrancea, Larissa M.; Chermezan, Leontin; Akgüller, Ömer; Masca, Ema Speranta (MDPI, 2022)

  Getting access to sufficient funding is the keystone for the development of any business, but especially for small and medium enterprises (SMEs). These economic entities are crucial players in the global economy since they ...

• Network-Induced Soft Sets and Stock Market Applications 

  Balcı, Mehmet Ali; Batrancea, Larissa M.; Akgüller, Ömer (MDPI, 2022)

  The intricacy of the financial systems reflected in bilateral ties has piqued the interest of many specialists. In this research, we introduce network-induced soft sets, a novel mathematical model for studying the dynamics ...

• EGE BÖLGESİ İÇİN DİNAMİK MOD AYRIŞTIRMASI İLE KURAKLIK ANALİZİ 

  Yüksel, Gamze; Sökün, Hakan (Kerim ÇETİNKAYA, 2022)

  Küresel ısınma ve diğer insani faktörlerle dünya coğrafyasını tehdit eden en önemli afetlerden biri de kuraklıktır. Kuraklık, suda yaşayan canlılardan başlayarak tüm dünya üzerindeki canlı ekosistemini doğrudan/dolaylı ...

• ON Ψδ-SETS AND Ψδ-FUNCTIONS DEFINED BY IDEALS 

  Özkoç, Murad; Issaka F.Y. (Poincare Publishers, 2021)

  In this paper, we introduce two operator associate with Ψ and δ-int operators in ideal topological spaces and investigate their properties. We will use the composite of these operators to offer a finer topology on X than ...

• ON CONTRA we∗-CONTINUOUS FUNCTIONS 

  Özkoç, Murad; Şaşmaz, Pınar (Poincare Publishers, 2021)

  The main goal of this paper is to introduce and study a new type of contra continuity called contra we∗-continuity via we∗-open sets defined by us. We obtain several characterizations and some fundamental properties of ...

• DECOMPOSITION OF δ-CONTINUITY VIA e-OPEN SET 

  Erdem, Serap (Poincare Publishers, 2021)

  The main purpose of this paper is to obtain a new decomposition of δ-continuity via e-open set which is defined by Ekici [7]. For this aim, we introduce the notion of δ-locally e-closed set which is weaker than the notion ...

• Fractality of Borsa Istanbul during the COVID-19 Pandemic 

  Balcı, Mehmet Ali; Batrancea, Larissa M.; Akgüller, Ömer; Gaban , Lucian; Rus, Mircea-Iosif (MDPI, 2022)

  Forecasting price changes is very important for the process of estimating and managing market risk in financial markets. Price changes in financial markets may also depend on non-market factors. Considering this situation, ...

• Coarse Graining on Financial Correlation Networks 

  Balcı, Mehmet Ali; Batrancea, Larissa M.; Akgüller, Ömer; Nichita, Anca (MDPI, 2022)

  Community structure detection is an important and valuable task in financial network studies as it forms the basis of many statistical applications such as prediction, risk analysis, and recommendation. Financial networks ...

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