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Fractional differential inclusions of Hilfer type under weak topologies in Banach spaces

Laboratory of Mathematics, Geometry, Analysis, Control and Applications, Tahar Moulay University of Saïda, P. O. Box 138 EN-Nasr 20000 Saïda, Algeria

E-mail Address: said.abbas@univ-saida.dz

E-mail Address: abbasmsaid@yahoo.fr

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Mouffak Benchohra

Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P. O. Box 89 Sidi Bel-Abbès 22000, Algeria

E-mail Address: benchohra@yahoo.com

Corresponding author.

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, and

Mohamed Abdalla Darwish

Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt

E-mail Address: dr.madarwish@gmail.com

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https://doi.org/10.1142/S1793557120500151Cited by:3 (Source: Crossref)

Abstract

In this paper, we present some results concerning the existence of weak solutions for some functional Hilfer and Hadamard fractional differential inclusions. The Mönch’s fixed point theorem and the concept of measure of weak noncompactness are the main tools used to carry out our results.

Communicated by Der-Chen Chang

Keywords:

AMSC: 26A33, 34A60

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