Shaochun Ji, Gang Li
Abstract:
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 email: jiscmath@gmail.com | |
Gang Li School of Mathematical Science Yangzhou University Yangzhou 225002, China email: gli@yzu.edu.cn |
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