Eurasian Journal of Mathematical Theory and Computer Sciences 5-jild 8-son (2025) · 7–12-betlar

INITIAL-BOUNDARY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES OF HIGHER ORDER IN THE SOBOLEV CLASS

Daniyarova, Gulayim

DOI: 10.5281/zenodo.16927356 · Manbada o'qish → · PDF (manba serverida)

Annotatsiya

Due to the large applicability of fractional equations to physical, technical, and biological processes, scientists around the world are increasingly interested in the study of higher-order equations involving fractional derivatives. Today, the study and solution of initial boundary value problems for higher-order mixed-type equations involving fractional derivatives has become an urgent task. In this work, the initial-boundary value problem in a cylindrical domain for a partial differential equation involving a fractional derivative in the Miller-Ross sense and the initial-boundary value problem for a higher-order fractional differential equation in the Sobolev class are investigated. Spherical functions are a method that allows us to find solutions to problems in mathematical physics more simply, easily, and quickly. With the help of these functions, it is possible to easily find solutions to even more complex problems.

Initial-boundary value problem, fractional derivative, initial-boundary value problem in a cylindrical domain, fractional partial differential equation, higher-order differential equations in the Sobolev class, fractional differential equations in the Sobolev class.Boshlang’ich-chegaraviy masala, kasr tartibli hosila, silindrik sohadagi boshlang’ich-chegaraviy masala, kasr tartibli xususiy hosilali differensial tenglama, Sobolev sinfida yuqori tartibli differensial tenglamalar, sobolev sinfida kasr tartibli differensial tenglamalar.

Metadata manbasi: jurnal OAI-PMH arxivi · Sindex to'liq matnni saqlamaydi, manbaga havola beradi.