Mathematica Bohemica, Vol. 142, No. 3, pp. 309-321, 2017
Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces
Djamila Seba
Received March 14, 2016. First published January 5, 2017.
Abstract: We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem associated with the technique of measures of noncompactness.
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Affiliations: Djamila Seba, Department of Mathematics, Faculty of Sciences, University M'Hamed Bougara, Route de la Gare Ferroviaire, 35000 Boumerdès, Algérie, e-mail: djam_seba@yahoo.fr
