EXISTENCE OF SOLUTIONS TO SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH IMPULSES

作者：Liu Xingyuan^*; Liu Yuji

来源：Electronic Journal of Differential Equations, 2012, 201.

• Solution
• singular fractional differential system
• impulsive boundary value problems
• Leray-Schauder nonlinear alternative

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.

• 单位
  广东商学院; 邵阳学院