Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators | Zendy

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Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators

Author(s) -

Fang Li

Publication year - 2012

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 - 10.1155/2012/729615

Subject(s) - mathematics , banach space , resolvent , separable space , operator (biology) , space (punctuation) , pure mathematics , fractional calculus , measure (data warehouse) , mathematical analysis , computer science , chemistry , biochemistry , repressor , database , transcription factor , gene , operating system

This paper is concerned with the existence of mild solutions forthe fractional integrodifferential equations with finite delay andalmost sectorial operators in a separable Banach space X. We obtain existence theorem for mild solutions to the above-mentioned equations, by means of measure of noncompactness and the resolvent operators associated with almost sectorial operators. As an application, the existence of mild solutions for some integrodifferential equation isobtained

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