EXISTENCE AND UNIQUENESS THEOREMS FOR SEQUENTIAL LINEAR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS

Gokdogan A., Unal E., ÇELİK E.

MISKOLC MATHEMATICAL NOTES, cilt.17, sa.1, ss.267-279, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.18514/mmn.2016.1635
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.267-279
  • Anahtar Kelimeler: sequential linear fractional differential equations, conformable fractional derivative, existence and uniqueness theorems
  • Atatürk Üniversitesi Adresli: Evet

Özet

Recently, a new definition of fractional derivative called as the conformable fractional derivative which based on limits introduced by Khalil et al (2014). Later, Abdeljawad (2015) improved these definitions and gave the basic concepts in this new fractional calculus. In this paper, we generalize Abel's formula and Wronskian determinant definition and establish existence and uniqueness theorems for sequential linear conformable fractional differential equations.