ON THE SOLUTIONS OF A MULTI-POINT BVP FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSES

FEN F.

MISKOLC MATHEMATICAL NOTES, vol.19, no.2, pp.847-863, 2018 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.18514/mmn.2018.2368
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.847-863
  • Keywords: Caputo fractional derivative, impulsive differential equations, fractional differential equations, boundary value problems, Banach contraction mapping principle, Schaefer's fixed point theorem, BOUNDARY-VALUE-PROBLEMS, EXISTENCE, SYSTEMS
  • Gazi University Affiliated: Yes

Abstract

The existence and uniqueness of solutions for a multi-point boundary value problem (BVP) of impulsive fractional differential equations are investigated by means of Schaefer's fixed point theorem and Banach contraction mapping principle. Examples that support the theoretical results are presented.