EXISTENCE RESULTS FOR p-LAPLACIAN HYBRID FRACTIONAL EQUATIONS WITH (k,ψ)-CAPUTO PROPORTIONAL FRACTIONAL DERIVATIVE

Selmani, Mehdi; Harrat, Chahrazed; Özyurt, Selma

doi:10.1007/s10958-026-08501-4

EXISTENCE RESULTS FOR p-LAPLACIAN HYBRID FRACTIONAL EQUATIONS WITH (k,ψ)-CAPUTO PROPORTIONAL FRACTIONAL DERIVATIVE

Selmani M., Harrat C., Özyurt S. G.

Journal of Mathematical Sciences (Switzerland), 2026 (Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2026
Doi Numarası: 10.1007/s10958-026-08501-4
Dergi Adı: Journal of Mathematical Sciences (Switzerland)
Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
Anahtar Kelimeler: Banach algebra, Generalized (k,ψ)-Caputo proportional fractional derivative, Hybrid differential equations, p-Laplacian operator
Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

This study investigates a class of p-Laplacian hybrid fractional differential equations involving the (k,ψ)-Caputo proportional fractional derivative. The existence of solutions is established using a hybrid fixed-point theorem for three operators in a Banach algebra, together with fractional calculus approaches. An illustrative example is also provided to highlight the applicability of the theoretical results.