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Shape and topological optimization for a fractional elliptic boundary problem | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 7، شماره 1، 2026، صفحه 45-65 اصل مقاله (349.8 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2025.17676.1163 | ||
| نویسندگان | ||
| Malick FALL* 1؛ Mame Gor NGOM1؛ Guillaume Itbadio Sadio2؛ Ibrahima Faye3؛ Alassane Sy3؛ Diaraf Seck4 | ||
| 1D´epartement de Math´emtiques, Universit´e Gamal Abdel Nasser de Conakry, FST, BP 1147 Conakry, Guinea | ||
| 2Laboratoire de Math´ematiques et Applications (LMA), Universit´e Assane Seck de Ziguinchor, UFR ST BP 523 Ziguinchor, Senegal | ||
| 3Laboratoire d’Informatique, de Math´ematiques et Applications (LIMA), UFR SATIC, Universit´e Alioune Diop de Bambey, BP 30 Bambey, Senegal | ||
| 4Laboratoire de Math´ematiques de la D´ecision et d’Analyse Num´erique (L.M.D.A.N).Université Cheikh Anta Diop, Dakar, Senegal | ||
| 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 | ||
| مراجع | ||
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