Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative

Bouriah S., Benchohra M., Özyurt S.

Filomat, cilt.37, sa.21, ss.7131-7147, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 21
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2321131b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7131-7147
  • Anahtar Kelimeler: Hilfer-Katugampola fractional derivative, neutral fractional differential equations, existence, uniqueness, fixed point
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we establish the existence of solutions for a class of nonlinear neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative. The arguments are based upon the Banach contraction principle, and Krasnoselskii’s fixed point theorem. An example is included to show the applicability of our results.