Baleanu, DumitruAgarwal, Ravi P.Debbouche, Amar2017-03-132025-09-182017-03-132025-09-182012Debbouche, A., Baleanu, D., Agarwal, R.P. (2012). Nonlocal nonlinear integrodifferential equations of fractional orders. Boundray Value Problems. http://dx.doi.org/10.1186/1687-2770-2012-781687-2770https://doi.org/10.1186/1687-2770-2012-78https://hdl.handle.net/20.500.12416/11792In this paper, Schauder fixed point theorem, Gelfand-Shilov principles combined with semigroup theory are used to prove the existence of mild and strong solutions for nonlinear fractional integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. To illustrate our abstract results, an example is given. MSC: 35A05, 34G20, 34K05, 26A33.eninfo:eu-repo/semantics/openAccessFractional Evolution EquationNonlocal ConditionSchauder'S Fixed Point TheoremUniformly Continuous SemigroupArticle10.1186/1687-2770-2012-782-s2.0-84866647774