Nonlocal nonlinear integrodifferential equations of fractional orders
Open Access
- 24 July 2012
- journal article
- research article
- Published by Springer Science and Business Media LLC in Boundary Value Problems
- Vol. 2012 (1), 78
- https://doi.org/10.1186/1687-2770-2012-78
Abstract
In 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.Keywords
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