Shaochun Ji, Gang Li
This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness assumptions to the operator semigroup. Some existence results are obtained when the nonlocal term is compact and when is Lipschitz continuous.
Submitted August 22, 2013. Published October 29, 2013.
Math Subject Classifications: 26A33, 34G20.
Key Words: Fractional differential equations; nonlocal conditions; measure of noncompactness.
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| Shaochun Ji |
Faculty of Mathematics and Physics
Huaiyin Institute of Technology
Huaian 223003, China
| Gang Li |
School of Mathematical Science
Yangzhou 225002, China
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