On the resolution of nonlinear fractional elliptic problems
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Date
2025
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Publisher
Faculty of Sciences
Abstract
In thispaper,weinvestigatetheexistenceofweaksolutionsforvarioustypesoffractionaldif-
ferentialproblems.Thestudybeginsbyapplyingfixedpointtheorytoestablishtheexistence
and uniquenessofsolutionfornonlinearfractionalellipticproblem.Then,westudythenon-
linear fractionalellipticsystem.Inthefinalpart,wepresentnonlinearellipticsysteminboth
resonance andnon-resonancecases,employingtheLeray–Schaudertopologicaldegreetheory
to provetheexistenceofsolutionsforsuchsystem