Taylan Demir is a mathematics researcher with a strong background in applied mathematics and mathematical physics. He is a PhD student in the Department of Mathematics at Ankara University and a member of the Turkey Mathematics Society. He has also been associated with Çankaya University’s Department of Mathematics and has collaborated with notable scholars like Professor Dumitru Baleanu on various scientific articles.
Taylan’s work focuses on fractional differential equations, numerical analysis, and engineering-related mathematical models. His research is recognized on international platforms, and his contributions have earned citations in numerous publications. He’s listed among prominent scientists in academic rankings like AD Scientific Index and Scholar GPS.
EDUCATION
College-Omer Seyfettin Anatolian High School
B.Sc- Department of Mathematics-Atılım University
M.Sc-Department of Mathematics-Cankaya University
M.Sc-Department of Mathematics-Abant IIzzet Baysal University
P.hD-Department of Mathematics-Ankara University
RESEARCH, TEACHING, or OTHER INTERESTS
Mathematics, Applied Mathematics, Mathematical Physics, Modeling and Simulation
1
Scopus Publications
1099
Scholar Citations
20
Scholar h-index
45
Scholar i10-index
Scopus Publications
Polynomial Regression and Faster R-CNN Models for University Library Decision Implementation Discovery based on Deep Learning Shkelqim Hajrulla, Özen Özer, Taylan Demir Wseas Transactions on Information Science and Applications, 2025 We deal with the development of a seat occupancy detection algorithm for the University’s library utilizing the Faster R-CNN algorithm. The university’s library is widely used by students, particularly during exam season when it can become difficult to find a seat. Going from one building to another is often time-consuming and useless when there are no available seats. This system uses the features of Faster R-CNN in a way to facilitate an automatic seat occupancy monitoring system. Unlike conventional methods of using manual monitoring or weights and occupancy switches as inanimate indicators, it provides real-time seat availability data which allows no human intervention to be a part of the process. Data collection and model training evaluation are considered using annotated datasets with images of library seating layouts. The Faster R-CNN model is trained such that it can accurately detect vacancy or occupancy at library seats. This work takes a futuristic approach towards smart library management systems, in which user needs are changing, and considers the use of high-end computer vision technologies to be integrated into all such libraries. The proposed system aims to leverage the effectiveness of Faster R-CNN and go a long way in redefining seat occupancy management for university libraries by enabling better efficiency, resource utilization, as well as user satisfaction in prospect.
RECENT SCHOLAR PUBLICATIONS
Double Local Fractional Natural Transform Approach for Fractional Partial Differential Equations MH Cherif, Z Ziane, Djelloul, D Baleanu, HK Jassim, T Demir, H Anaç Review , 2027 2027
Distributed-Order Fractional Relativistic Kinematics: Memory-Dependent Lorentz Structures and Nonlocal Velocity Dynamics T Demir Researchgate, 1-11 , 2026 2026
Multi-Scale Spatiotemporal Memory Dynamics in Non-Markovian Physical Systems T Demir, NA Shah Researchsquare, 1-8 , 2026 2026
Riemann-Liouville Fractional Velocity Composition Laws T Demir Researchgate, 1-18 , 2026 2026
Variable-Order Fractional Minkowski Space Formulation T Demir Researchgate, 1-17 , 2026 2026
Caputo-Hadamard Fractional Proper Time Dynamics T Demir Researchgate, 1-41 , 2026 2026
ψ-Caputo Fractional Time Dilation in Relativistic Systems T Demir Researchgate, 1-17 , 2026 2026
Efficient Denial-of-Service Attack Detection Using a Two-Stage Hybrid Support Vector Machine Framework L Ali, S Hajrulla, T Demir, L Ibeh Researchsquare, 1-14 , 2026 2026
Efficient Denial-of-Service Attack Detection Using a Two-Stage Hybrid Support Vector Machine Framework L Ali, S Hajrulla, T Demir, L Ibeh Researchsquare, 1-14 , 2026 2026
The 12th International Conference of Image Processing, Wavelet and Applications on Real World Problems (IWW 2025), 3-5 November 2025 : book of extended abstracts T Demir, A Koçyiğit, etc. 195 , 2026 2026
CV for Editorial Board Member in "Ibn Khaldun Scientific Journal" T Demir Researchgate, 1-13 , 2026 2026
A Data-Calibrated Fractional-Order Model of Nipah Virus Transmission with Biological Spillover Mechanisms, Healthcare-Associated Spread, and Statistical Uncertainty Quantification T Demir, ZA Waheed, AR Khudhair 2026
CAPUTO FRACTIONAL LORENTZ TRANSFORMATIONS WITH MEMORY KERNELS T Demir Researchgate, 1-43 , 2026 2026
NONLOCAL RELATIVISTIC DYNAMICS VIA FRACTIONAL OPERATORS T Demir Researchgate, 1-30 , 2026 2026
FRACTIONAL SPACE-TIME GEOMETRY WITH MEMORY EFFECTS T Demir Researchgate, 1-19 , 2026 2026
A Fractional Delay–Stochastic Framework for Quantum-Inspired Biological Feedback: Stability,Hopf Bifurcation, and Resonance Phenomena HH Tosunoğlu, T Demir, A Karenzo, NA Shah Researchgate, 1-17 , 2026 2026
CAPUTO FRACTIONAL MODELS OF TIME DILATION T Demir Researchgate, 1-18 , 2026 2026
FRACTIONAL EXTENSIONS OF LORENTZ TRANSFORMATIONS T Demir Researchgate, 1-18 , 2026 2026
A FRACTIONAL DYNAMICAL FRAMEWORK FOR CLIMATE VARIABILITY WITH LONG-MEMORY EFFECTS T Demir Researchgate, 1-14 , 2026 2026
Biomathematical and Health-Economic Modeling of Immune-System-Targeting RNA Viruses: A Comparative Analysis of Measles and HIV HH Tosunoğlu, T Demir Researchgate, 1-18 , 2026 2026
MOST CITED SCHOLAR PUBLICATIONS
Discrete Fractional Operators and their applications T Demir, S Hajrulla International Journal of Advanced Natural Sciences and Engineering … , 2023 2023.0 Citations: 49
The impact of constructive learning applied to the teaching of numerical methods S Hajrulla, T Demir All Sciences Proceedings , 2023 2023.0 Citations: 49
Unimodular matrix on shallow water wave theory. Unimodularity through matrix method S Hajrulla, A Uka, T Demir, F Hoxha, D Hajrulla, L Bezati New Trends in Mathematical Sciences 10 (1), 25-31 , 2022 2022.0 Citations: 48
Caputo Fractional Operator on shallow water wave theory T Demir, S Hajrulla, O Ozer, S Karadeniz, OOC James International Journal of Advanced Natural Sciences and Engineering … , 2024 2024.0 Citations: 44
Simulations and results for the heat transfer problem S Hajrulla, A Uka, T Demir European Journal of Engineering Science and Technology 6 (1), 1-9 , 2023 2023.0 Citations: 44
Numerical methods and approximations for the heat transfer problem S Hajrulla, A Uka, L Ali, T Demir Proceedings of The International Conference on Academic Research in Science … , 2023 2023.0 Citations: 44
Applications of q-Mittag Leffler function on q-fractional differential operators T Demir, ME Samei 6th International HYBRID Conference on Mathematical Advances and … , 0 Citations: 44
Normal Distribution on Energy Saving Problem for the Wireless Sensor Network Life on the Vacation Period S Hajrulla, T Demir, L Ali, N Souliman Avrupa Bilim ve Teknoloji Dergisi, 67-72 , 2023 2023.0 Citations: 43
African Conference of Mathematics and Applications, ACOMA, 20-23 November 2024, Niamey, NIGER T Demir, A Akgül, S Amin ACOMA 20, 23 , 2024 2024.0 Citations: 42
Application of Numerical Methods in Design of Industrial Structures T Demir, S Hajrulla, L Bezati, D Hajrulla International Journal of Advanced Natural Sciences and Engineering … , 2023 2023.0 Citations: 42
An approach to solving real-life problems using normal distribution. Approximation of results using the Lagrange-Euler method S Hajrulla, T Demir, V Lino, L Ali International Journal of Advanced Natural Sciences and Engineering … , 2023 2023.0 Citations: 41
Unimodular Matrix On Compound Mathematical Structures Applications and Results S Hajrulla, T Demir, L Bezati, R Kosova, D Hajrulla International Journal of Advanced Natural Sciences and Engineering … , 2023 2023.0 Citations: 30
Polynomial Regression and Faster R-CNN Models for University Library Decision Implementation Discovery based on Deep Learning S Hajrulla, Ö Özer, T Demir WSEAS Transactions on Information Science and Applications 22, 83-92 , 2025 2025.0 Citations: 26
Solutions of fractional-order differential equation on harmonic waves and linear wave equation PD Taylan Demir, Shkelqim Hajrulla 6th INTERNATIONAL CONFERENCE ON MATHEMATICS-"An Istanbul Meeting for World … , 2022 2022.0 Citations: 22
Mathematics of Risk Management using Unimodular Matrix Interpolation and Numerical Simulations S Hajrulla, L Bezati, E Hysa, R Kosova, L Demir, Taylan, Ali ICENSOS 2025, 38 , 2025 2025.0 Citations: 21
Fractional Models on Surface Waves T Demir Academie. edu , 2023 2023.0 Citations: 21
Numerical methods on fractional Fourier transformation on Signal Processing T Demir, S Hajrulla Demir, T., Hajrulla, S., & Dogan, P. Using Special Functions on Grünwald … , 0 Citations: 21
Numerical Results for Second-Level Banks Data Using Discrete Fractional Calculus S Hajrulla, T Demir 7th International Conference On Mathematical Modelling, Applied Analysis And … , 0 Citations: 21
Discrete Fractional Operators in Analyzing Digital Financial Inclusion in Banks by using Linear Fractional Differential Equation Model S Hajrulla, T Demir 7th International Conference On Mathematical Modelling, Applied Analysis And … , 0 Citations: 21
Adaptive Wavelet-Galerkin Modelling of Heat Conduction in Heterogeneous Composite Materials T Demir, A Koçyiğit arXiv, 1-12 , 2025 2025.0 Citations: 20
