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

Duman O., Develi F.

Results in Mathematics, vol.77, no.3, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 77 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.1007/s00025-022-01629-0
  • Journal Name: Results in Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Keywords: Hyers-Ulam stability, fractional order derivative, Darboux problem, delay differential equations, INTEGRAL-EQUATIONS, DARBOUX PROBLEM, UNIQUENESS
  • Yıldız Technical University Affiliated: Yes

Abstract

© 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.