Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions | Zendy

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Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions

Author(s) -

Fang Li

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/723453

Subject(s) - mathematics , banach space , separable space , path (computing) , nonlinear system , semigroup , mathematical analysis , combinatorics , pure mathematics , algebra over a field , physics , computer science , quantum mechanics , programming language

We study the existence of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equationswith nonlocal conditions in a separable Banach space . Combining the techniques of operator semigroup, noncompactness measures, andthe 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

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