An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions | Zendy

Fang Li | Zendy; Gaston M. N’Guérékata | Zendy

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An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions

Author(s) -

Fang Li,

Gaston M. N’Guérékata

Publication year - 2011

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 - 10.1155/2011/952782

Subject(s) - mathematics , banach space , order (exchange) , class (philosophy) , space (punctuation) , mathematical analysis , fractional calculus , fixed point theorem , pure mathematics , linguistics , philosophy , finance , artificial intelligence , computer science , economics

We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness and the theory of condensing maps. Two examples are given to illustrate the existence theorem

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