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

Authors

  • 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, University of Oran 1; 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

Abstract

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 withan initial condition. The main results of the existence and uniqueness are obtained by using resolvent operator techniques and multivalued fixed point theory.

Downloads

Published

2024-08-27

Issue

Volume 29, Number 3, September 2024

Section

Articles