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

Bouriah, Soufyane; Benchohra, Mouffak; Özyurt, SELMA

doi:10.2298/fil2321131b

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, Scopus)

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.