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FALL, Malick. (1404). Shape and topological optimization for a fractional elliptic boundary problem. سامانه مدیریت نشریات علمی, (), 45-65. doi: 10.22098/jfga.2025.17676.1163
Malick FALL. "Shape and topological optimization for a fractional elliptic boundary problem". سامانه مدیریت نشریات علمی, , , 1404, 45-65. doi: 10.22098/jfga.2025.17676.1163
FALL, Malick. (1404). 'Shape and topological optimization for a fractional elliptic boundary problem', سامانه مدیریت نشریات علمی, (), pp. 45-65. doi: 10.22098/jfga.2025.17676.1163
FALL, Malick. Shape and topological optimization for a fractional elliptic boundary problem. سامانه مدیریت نشریات علمی, 1404; (): 45-65. doi: 10.22098/jfga.2025.17676.1163

Shape and topological optimization for a fractional elliptic boundary problem

Journal of Finsler Geometry and its Applications
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 مهر 1404    اصل مقاله (349.8 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.17676.1163
نویسنده
Malick FALL*
Université Gamal Abdel Nasser de Conakry
چکیده
In this paper, we consider a shape optimization problem associated with the fractional Lapla
cian We focus on J( Omega) = j( Omega,u ) where u is the solution of 1.3. We give an existence of
optimal shape using differents methods. These results are based compactness and
cone property. We establish also the shape derivative and topological derivative of the functional
using the minmax method.
کلیدواژه‌ها
Shape optimization؛ shape derivative؛ optimal conditions؛ fractional laplacian
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