Solutions around a regular a singular point of a sequential conformable fractional differential equation
KUWAIT JOURNAL OF SCIENCE, cilt.44, sa.1, ss.9-16, 2017 (SCI-Expanded, Scopus)
- 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.