Solutions around a regular a singular point of a sequential conformable fractional differential equation

Unal E., GÖKDOĞAN A., ÇELİK E.

KUWAIT JOURNAL OF SCIENCE, cilt.44, sa.1, ss.9-16, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 1
  • Basım Tarihi: 2017
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.9-16
  • Anahtar Kelimeler: Conformable fractional derivative, fractional power series, regular a singular point, sequential conformable fractional differential equation, series solutions
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitions of alpha-analytic point, a-ordinary point and regular a singular point are presented. Finally, the fractional power series solutions are given around a regular-singular point, in the case of variable coefficients for homogeneous sequential linear conformable fractional differential equations of order 2 alpha.