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Fractional differential inclusions with multi-point boundary conditions involving Hilfer-Hadamard derivative
  • Benaouda HEDIA,
  • Berrrabah Fatima,
  • Gisèle Mophou
Benaouda HEDIA
University of Tiaret

Corresponding Author:b_hedia@univ-tiaret.dz

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Berrrabah Fatima
Université Oran1
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Gisèle Mophou
Université des Antilles
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Abstract

In this paper, we studied the existence and uniqueness result of solutions for boundary value problems for Hilfer-Hadamard type fractional differential inclusions with multi-point boundary conditions, in the first approach we deal with a non-convex valued right hand side and in the second approach we consider the Carath\’eodory case. Finally the compactness of solution sets is also obtained.