On extremal solutions of weighted fractional hybrid differential equations

Benyoub, Mohammed; GÜLYAZ ÖZYURT, SELMA

doi:10.2298/fil2406091b

On extremal solutions of weighted fractional hybrid differential equations

Benyoub M., GÜLYAZ ÖZYURT S.

Filomat, cilt.38, sa.6, ss.2091-2107, 2024 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 6
Basım Tarihi: 2024
Doi Numarası: 10.2298/fil2406091b
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2091-2107
Anahtar Kelimeler: hybrid differential equation, initial value problem, maximal and minimal solutions, Riemann-Liouville fractional derivative, Riemann-Liouville fractional integral
Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

This research studies the existence of a solution for an initial value problem of nonlinear fractional hybrid differential equations involving Riemann-Liouville derivative in weighted space of continuous functions. An existence theorem for this equations is proved under mixed Lipschitz and Carathéodory conditions.