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

FEN F.

MISKOLC MATHEMATICAL NOTES, cilt.19, sa.2, ss.847-863, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.18514/mmn.2018.2368
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.847-863
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.