معرفی
Prof. Dr. Yuri Luchko serves as a Professor in the Department of Mathematics at Berliner Hochschule für Technik (Berlin University of Applied Sciences), where he teaches courses in Analysis and Mathematics as evidenced by his current Sommersemester 2025 teaching assignments including Analysis IIa, Analysis IIb, and Mathematik I for engineering students.
Professor Luchko is a world-renowned expert in Fractional Calculus, with research focusing on Fractional Differential Equations, General Fractional Calculus with Sonin Kernels, Fractional Diffusion-Wave Equations, and Special Functions including the Wright Function. His work bridges theoretical mathematics with applications in mathematical physics, diffusion processes, and anomalous transport phenomena. Over his prolific career, he has developed operational methods for solving fractional differential equations and contributed significantly to the theoretical foundations of fractional calculus.
Analysis of Professor Luchko's recent publications reveals a strong trend toward General Fractional Calculus with Sonin Kernels, representing a cutting-edge direction in the field. His work increasingly focuses on establishing rigorous mathematical frameworks for fractional operators, developing comparison principles for fractional differential equations, and exploring the properties of generalized fractional derivatives. These contributions are shaping the next generation of fractional calculus theory with applications spanning physics, engineering, and mathematical modeling of complex systems.
Throughout his career, Professor Luchko has made substantial contributions to the academic community through his extensive publication record, including numerous journal articles, book chapters, and several influential books such as the "Handbook of Fractional Calculus with Applications" series where he served as co-editor for Volumes 1 and 2. His work has established him as a leading authority in the fractional calculus community, with significant impact across multiple disciplines requiring advanced mathematical modeling techniques.
