Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13662-015-0561-0
Keywords
fractional evolution equations; impulses; PC-mild solutions; Cauchy problems; nonlocal problems
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Funding
- Hunan Provincial Natural Science Foundation of China [2015JJ6095]
- Zhejiang Provincial Natural Science Foundation of China [LQ14A010006]
- Doctor Priming Fund Project of University of South China [2013XQD16]
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This paper is concerned with the existence of PC-mild solutions for Cauchy and nonlocal problems of impulsive fractional evolution equations for which the impulses are not instantaneous. By using the theory of operator semigroups, probability density functions, and some suitable fixed point theorems, we establish some existence results for these types of problems.
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