Existence and Hyers–Ulam Stability Results for Partial Fractional-Order Delay Differential Equations

Duman O., Develi F.

Results in Mathematics, cilt.77, sa.3, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s00025-022-01629-0
  • Dergi Adı: Results in Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Hyers-Ulam stability, fractional order derivative, Darboux problem, delay differential equations, INTEGRAL-EQUATIONS, DARBOUX PROBLEM, UNIQUENESS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.In this paper, we first give sufficient conditions for the existence and uniqueness results of the Darboux problem with delays for some partial fractional-order derivations in the sense of Caputo. Secondly, we prove a result regarding the Hyers–Ulam stability of this problem.