GLOBAL EXISTENCE OF SOLUTIONS FOR A SYSTEM OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS

YUJI LIU, PATRICIA J.Y. WONG
2015 Journal of Applied Mathematics and Informatics  
We establish sufficient conditions for the global existence of solutions for a class of impulsive singular fractional differential equations by constructing a weighted Banach space and a completely continuous operator and using the fixed point theorem in the Banach space. An example is given to illustrate the efficiency of the main theorems.
doi:10.14317/jami.2015.327 fatcat:wjmlgpyrjbf6ncthwngju6rn5m