Ankara, Türkiye
I am a PhD researcher in Applied Mathematics at Ankara University, with a research focus centered on fractional calculus, mathematical physics, and nonlinear dynamical systems. My work is primarily devoted to the development of analytically rigorous and computationally robust models that capture memory-dependent and nonlocal phenomena arising in complex physical and biological systems. My research interests include Caputo and Caputo–Hadamard fractional operators, fractional difference equations, stability theory (including Mittag-Leffler and Ulam–Hyers stability), and advanced numerical methods such as the Adams–Bashforth–Moulton scheme. I have applied these frameworks to a range of interdisciplinary problems, including epidemiological dynamics (SEIR/SEIS models), viscoelastic systems, and wave propagation models. I have authored and co-authored a substantial body of work in applied mathematics, with my publications receiving over 1000 citations and an h-index approaching 20 according to Google Scholar. My research impact is further reflected in multiple academic indexing platforms, including: Listed in AD Scientific Index (2026), ranked among the Top 100 Highly Cited Researchers in Natural Sciences in Turkey Ranked within national citation and h-index rankings in Scholar GPS Indexed in Web of Science with an active researcher profile (ResearcherID) Maintains an active academic presence with verified metrics across international databases Within institutional and national contexts, my metrics position me among the leading early-career researchers in fractional calculus in Turkey, with competitive standing across both Çankaya University and Ankara University research environments. In addition to research, I actively contribute to the academic community through peer review for international journals and participation in high-level conferences. I am particularly interested in expanding collaborative research networks and contributing to high-impact (Q1) journals. My long-term objective is to advance the theoretical foundations and applied scope of fractional calculus, while establishing a strong international academic presence in applied mathematics.
Researcher (P.hD) My areas of expertise include: fractional differential equations, mathematical modeling, mathematical biology, fractional calculus, and mathematical analysis. Topluluk Üyesi-Society Member