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- Title
Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness.
- Authors
Pengyu Chen; Yongxiang Li
- Abstract
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 convexpower condensing operator.
- Subjects
FRACTIONAL integrals; NUMERICAL solutions to evolution equations; COMPACT spaces (Topology); BANACH spaces; FIXED point theory; OPERATOR theory
- Publication
Abstract & Applied Analysis, 2013, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2013/784816