Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness | Zendy

Pengyu Chen | Zendy; Yongxiang Li | Zendy

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Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness

Author(s) -

Pengyu Chen,

Yongxiang 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 - 10.1155/2013/784816

Subject(s) - mathematics , banach space , measure (data warehouse) , fixed point theorem , type (biology) , regular polygon , operator (biology) , mathematical analysis , class (philosophy) , pure mathematics , ecology , biochemistry , chemistry , geometry , repressor , database , artificial intelligence , computer science , transcription factor , gene , biology

A general class of semilinear fractional evolution equations of mixed type with nonlocal conditions on infinite dimensional Banach spaces is concerned. Under more general conditions, the existence of mild solutions and positive mild solutions is obtained by utilizing a new estimation technique of the measure of noncompactness and a new fixed point theorem with respect to convex-power condensing operator

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