Shandong Science ›› 2020, Vol. 33 ›› Issue (6): 103-109.doi: 10.3976/j.issn.1002-4026.2020.06.014

• Other Research Article • Previous Articles     Next Articles

Attractiveness of solutions for Katugampola fractional differential equation

CHEN Xing-ru, GU Hai-bo*, WANG Xing-zhao, CHEN Yi-ru, MA Li-na   

  1. College of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China
  • Received:2020-03-24 Online:2020-12-09 Published:2020-12-10

Abstract:

We study the attractiveness of solutions for a Katugampola fractional differential equation. Using the Schauder fixed point theorem and measuring the noncompactness, we obtain the solutions for the Katugampola fractional differential equation and establish sufficient conditions for globally attractive solutions to the problem. Our results essentially reveal the characteristics of solutions for the Katugampola fractional differential equation.

Key words: fractional differential equation;Katugampola derivative, attractiveness, Schauder fixed point theorem

CLC Number: 

  • 0175.2