Initial and terminal value problem for fractional differential equations of variable order

Guedim S., Benkerrouche A., Özyurt S., Souid M. S., Sabit S.

Filomat, cilt.38, sa.33, ss.11805-11821, 2024 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 33
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2433805g
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.11805-11821
  • Anahtar Kelimeler: existence and uniqueness of solutions, fractional variable order, initial and terminal value problem, Schaefer fixed point theorem
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

An initial and terminal value problem for fractional differential equations of variable order is introduced. The existence and uniqueness properties are analyzed based on the fixed point theorems of Schaefer and Banach. The results obtained are supported by approximate numerical examples.