Xingyuan Liu, Yuji Liu
Abstract:
By constructing a weighted Banach space and a completely continuous operator,
we establish the existence of solutions for singular fractional differential
systems with impulses. Our results are proved using the Leray-Schauder
nonlinear alternative, and are illustrated with examples.
Submitted March 14, 2012. Published November 15, 2012.
Math Subject Classifications: 92D25, 34A37, 34K15.
Key Words: Solution; singular fractional differential system;
impulsive boundary value problems;
Leray-Schauder nonlinear alternative.
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Xingyuan Liu Department of Mathematics Shaoyang University Hunan Shaoyang, 422000, China email: liuxingyuan888@sohu.com | |
Yuji Liu Department of Mathematics Guangdong University of Business Studies Guangzhou 510000, China email: liuyuji888@sohu.com |
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