Mathematical Physics, Physics and Astronomy, Applied Mathematics, Modeling and Simulation
246064
Scholar Citations
86
Scholar h-index
155
Scholar i10-index
RECENT SCHOLAR PUBLICATIONS
Efficient Denial-of-Service Attack Detection Using a Two-Stage Hybrid Support Vector Machine Framework L Ali, S Hajrulla, T Demir, L Ibeh 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 2026
Mathematical-Socio-Economic Modeling of RNA Viruses Destabilizing the Human Immune System: A Comprehensive Analysis of Immune Amnesia and CD4+ Depletion HH Tosunoğlu, T Demir 2026
Nanotechnological Interventions in RNA Repair: Stochastic Modeling of CRISPR-Cas13 Delivery and Intracellular Restoration Dynamics HH Tosunoglu, T Demir 2026
Memory as Spatiotemporal Delay: A Unified Hybrid Framework for Quantum-cosmic Energetics and Astrobiological Dynamics HH Tosunoğlu, T Demir, A Karenzo, NA Shah 2026 Citations: 5
Local Fractional Sturm-Liouville Theory on Fractal Sets with Integration by Parts and Equivalence of Local Fractional Derivatives T Demir, NA Shah 2026 Citations: 5
State-Dependent Memory Geometry in Fractional Dynamical Systems via ψ-Caputo Operators T Demir 2026
A Structural Stability Framework for Nonlocal Fractional Differential Equations with Memory-Dependent Kernels T Demir 2026
Structural Stability Concepts for Fractional Differential Systems Beyond Classical Lyapunov Theory T Demir 2026
A Functional-Analytic Framework for Nonlocal Memory Structures in Fractional Differential Analysis T Demir 2026
State dependent delay differential equations with distributed memory T Demir, NA Shah arXiv preprint arXiv:2602.12467 , 2026 2026
Fractional-Order SEIHR (D) Model for Nipah Virus with Spillover: Well-Posedness, Ulam–Hyers Stability, and Global Sensitivity T Demir, HH Tosunoğlu medRxiv, 2026.02. 02.26345408 , 2026 2026
Sensitivity Analysis and Dynamical Behavior of an Atangana-Baleanu-Caputo Fractional SEIRV Model: A Case Study of the 2004-2005 H3N2 Influenza Season T Demir, HH Tosunoğlu medRxiv, 2026.01. 26.26344824 , 2026 2026
A transparent EWMA-based early-warning index for RSV and influenza A from WastewaterSCAN wastewater signals, benchmarked against CDC laboratory surveillance T Demir, HH Tosunoğlu medRxiv, 2026.01. 20.26344452 , 2026 2026 Citations: 1
A Variable-Order Caputo Fractional Heat Equation: Energy Stability and Parameter Identification T Demir 2026
Kernel-Modulated ψ-Caputo Fractional Calculus: Integration-by-Parts, Grönwall Estimates, and Well-Posedness T Demir 2026
Measure-Driven Distributed-Order Caputo Calculus: Multi-Scale Memory, Well-Posedness, and Stability for Nonlinear Evolution Equations T Demir 2026
Fractional-Order Modeling and Parameter Identification of Lithium-Ion Batteries from Impedance Spectroscopy T Demir 2026
Fractional Attenuation Models for Seismic Waves: Energy Decay and Calibration from Spectral Data T Demir 2026
Broadband Identification of Fractional Kelvin–Voigt Viscoelasticity Under Energy-Dissipation Constraints T Demir 2026
MOST CITED SCHOLAR PUBLICATIONS
Clinical features of patients infected with 2019 novel coronavirus in Wuhan, China C Huang, Y Wang, X Li, L Ren, J Zhao, Y Hu, L Zhang, G Fan, J Xu, X Gu, ... The lancet 395 (10223), 497-506 , 2020 2020 Citations: 67581
Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications I Podlubny elsevier , 1998 1998 Citations: 45192
Yolov4: Optimal speed and accuracy of object detection A Bochkovskiy, CY Wang, HYM Liao arXiv preprint arXiv:2004.10934 , 2020 2020 Citations: 26686
YOLOv7: Trainable bag-of-freebies sets new state-of-the-art for real-time object detectors CY Wang, A Bochkovskiy, HYM Liao Proceedings of the IEEE/CVF conference on computer vision and pattern … , 2023 2023 Citations: 17074
Advanced Engineering Mathematics, International Adaptation E Kreyszig john wiley & sons , 2025 2025 Citations: 14502
Matrix analysis and applied linear algebra CD Meyer Society for Industrial and Applied Mathematics , 2023 2023 Citations: 8005
Lectures on stochastic programming: modeling and theory A Shapiro, D Dentcheva, A Ruszczynski Society for Industrial and Applied Mathematics , 2021 2021 Citations: 5513
New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model A Atangana, D Baleanu arXiv preprint arXiv:1602.03408 , 2016 2016 Citations: 4838
Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models F Mainardi World Scientific , 2022 2022 Citations: 4820
Estimating the effects of non-pharmaceutical interventions on COVID-19 in Europe S Flaxman, S Mishra, A Gandy, HJT Unwin, TA Mellan, H Coupland, ... Nature 584 (7820), 257-261 , 2020 2020 Citations: 4535
Fractional-order systems and PI/sup/spl lambda//D/sup/spl mu//-controllers I Podlubny IEEE Transactions on automatic control 44 (1), 208-214 , 2002 2002 Citations: 4295
Fractional calculus: models and numerical methods D Baleanu World Scientific , 2012 2012 Citations: 3505
Handbook of differential equations D Zwillinger, V Dobrushkin Chapman and Hall/CRC , 2021 2021 Citations: 2588
Basic theory of fractional differential equations Y Zhou World scientific , 2023 2023 Citations: 2417
Recent history of fractional calculus JT Machado, V Kiryakova, F Mainardi Communications in nonlinear science and numerical simulation 16 (3), 1140-1153 , 2011 2011 Citations: 2089
A new collection of real world applications of fractional calculus in science and engineering HG Sun, Y Zhang, D Baleanu, W Chen, YQ Chen Communications in Nonlinear Science and Numerical Simulation 64, 213-231 , 2018 2018 Citations: 1979
Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability Y Li, YQ Chen, I Podlubny Computers & Mathematics with Applications 59 (5), 1810-1821 , 2010 2010 Citations: 1925
Mittag–Leffler stability of fractional order nonlinear dynamic systems Y Li, YQ Chen, I Podlubny Automatica 45 (8), 1965-1969 , 2009 2009 Citations: 1904
Geometric and physical interpretation of fractional integration and fractional differentiation I Podlubny arXiv preprint math/0110241 , 2001 2001 Citations: 1751
Universal differential equations for scientific machine learning C Rackauckas, Y Ma, J Martensen, C Warner, K Zubov, R Supekar, ... arXiv preprint arXiv:2001.04385 , 2020 2020 Citations: 1227
