Geodesic
On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions
Commentationes Mathematicae, Tome 46 (2006) no. 2, pp. 181-200.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Let \(\alpha\) be a positive real number. In the present paper we present the definition of the Aumann Pettis integral and the Pettis integral of order \(\alpha\) for multifunctions. The properties of these integrals and the relations between them are studied extensively. In particular, a Strassen type theorem in this case and continuation property are proved. Also, we give a version for Fatou's lemma and dominated convergence theorem for the Aumann-Pettis integral of order \(\alpha\) and for multifunctions.
DOI : 10.14708/cm.v46i2.5216
Mots-clés : Measurable multifunction, Aumann integral, Aumann-Pettis integral, Fractional integral 
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Ahmed-G. Ibrahim; Asmaa M. Soliman. On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions. Commentationes Mathematicae, Tome 46 (2006) no. 2, pp.  181-200. doi : 10.14708/cm.v46i2.5216. http://geodesic.mathdoc.fr/articles/10.14708/cm.v46i2.5216/

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