Ulam–Hyers–Rassias Stability of ψ-Hilfer Volterra Integro-Differential Equations of Fractional Order Containing Multiple Variable Delays

Graef J. R., Tunç O., Tunç C.

Fractal and Fractional, cilt.9, sa.5, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 5
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/fractalfract9050304
  • Dergi Adı: Fractal and Fractional
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Anahtar Kelimeler: fixed-point methods, Hilfer fractional-order Volterra integro-differential equations, Ulam–Hyers stability, Ulam–Hyers–Rassias stability
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The authors consider a nonlinear (Formula presented.) -Hilfer fractional-order Volterra integro-differential equation ((Formula presented.) -Hilfer FrOVIDE) that incorporates N-multiple variable time delays into the equation. By utilizing the (Formula presented.) -Hilfer fractional derivative, they investigate the Ulam–Hyers–Rassias and Ulam–Hyers stability of the equation by using fixed-point methods. Their results improve existing ones both with and without delays by extending them to nonlinear (Formula presented.) -Hilfer FrOVIDEs that incorporate N-multiple variable time delays.