3 декабря 2025 года в 14:00 пройдет совместный семинар Института математики имени В.И. Романовского Академии наук Республики Узбекистан, Института прикладной математики и автоматизации КБНЦ Российской академии наук и Analysis & PDE Center of Ghent University (Belgium) «Современные проблемы математической физики».
Докладчик: Professor Batirkhan Turmetov, Khoja Akhmet Yasawi International Turkish-Kazakh University.
Название доклада: The Method of Normalized Systems of Functions and Its Application to Constructing Solutions of Fractional-Order Differential Equations.
Краткая аннотация: This report presents information about a method for constructing solutions of fractional-order differential equations. This method, called the method of normalized systems, was developed in the work of B.A. Bondarenko [1] and later modified in the works of V.V. Karachik [2,3]. In those studies, solutions of various integer-order differential equations were constructed. In the present work, the method of normalized systems is applied to constructing solutions of fractional-order differential equations. Various classes of fractional-order differential equations are considered. Explicit solutions of homogeneous and nonhomogeneous fractional-order equations are constructed. New classes of special functions are obtained, and their properties are studied.
1.Bondarenko B.A. Operator Algorithms in Differential Equations. Tashkent: Fan, 1984.
2.Karachik V.V., Normalized System of Functions with Respect to the Laplace Operator and Its Applications, Journal of Mathematical Analysis and Applications, 287, No. 2 (2003), 577–592.
3.Karachik V.V., The Method of Normalized Systems of Functions. Chelyabinsk: Publishing Center of SUSU, 2014. – 452 p.
Подключение к конференции Zoom:
https://us06web.zoom.us/j/88273567781?pwd=6TMH3UOjALVQmLsLlm6vTMPo5YpCYr.1
Идентификатор конференции: 882 7356 7781
Код доступа: 151325
Руководители семинара: академик Ш. А. Алимов, профессор А. В. Псху, профессор Р. Р. Ашуров, профессор Э. Каримов.
Секретарь семинара: Р. Т. Зуннунов.