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FRACTIONAL ORDER OF DIFFERENTIAL INCLUSION GOVERNED BY AN INVERSE STRONGLY AND MAXIMAL MONOTONE OPERATOR

  • Aicha Ouali (Department of Mathematics, University of Oran 1, Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1) ;
  • Abdallah Beddani (Department of Mathematics, Faculty of Science and Technology Relizane University, Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1) ;
  • Yamina Miloudi (Department of Mathematics, University of Oran 1, Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1)
  • 투고 : 2023.10.22
  • 심사 : 2024.03.20
  • 발행 : 2024.09.15

초록

In this paper, we study the existence and uniqueness of solutions for a class of fractional differential inclusion including a maximal monotone operator in real space with an initial condition. The main results of the existence and uniqueness are obtained by using resolvent operator techniques and multivalued fixed point theory.

키워드

과제정보

The authors would like to thank the anonymous referee for his valuable comments.

참고문헌

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