Results in Mathematics, vol.77, no.3, 2022 (Journal Indexed in SCI Expanded)
Article / Article
Title of Journal :
Results in Mathematics
Hyers-Ulam stability, fractional order derivative, Darboux problem, delay differential equations, INTEGRAL-EQUATIONS, DARBOUX PROBLEM, UNIQUENESS
© 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.