Abstract
We study the existence of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with nonlocal conditions in a separable Banach space . Combining the techniques of operator semigroup, noncompactness measures, and the fixed point theory, we obtain new existence of mild solution without the assumptions that the nonlinearity satisfies a Lipschitz type condition and the semigroup generated by is compact. An application of the abstract result is also given.
Citation
Fang Li. "Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions." Abstr. Appl. Anal. 2013 (SI05) 1 - 8, 2013. https://doi.org/10.1155/2013/723453