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On fractional integro-differential inclusions with state-dependent delay in Banach spaces
Authors:Mouffak Benchohra  Sara Litimein
Affiliation:Laboratoire de Mathématiques , Université de Sidi Bel-Abbès , BP 89, 22000 Sidi Bel-Abbès , Algérie
Abstract:In this article we investigate the existence of solutions on a compact interval for the fractional integro-differential inclusions with state-dependent delay in Banach spaces when the delay is infinite. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex values.
Keywords:differential inclusions  integral resolvent family  mild solution  fixed points  state-dependent delay  infinite delay
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