Existence and stability results for nonlinear fractional integrodifferential coupled systems

Abstract

Abstract In this paper, a class of nonlinear ψ-Hilfer fractional integrodifferential coupled systems on a bounded domain is investigated. The existence and uniqueness results for the coupled systems are proved based on the contraction mapping principle. Moreover, the Ulam–Hyers–Rassias, Ulam–Hyers, and semi-Ulam–Hyers–Rassias stabilities to the initial value problem are obtained.

Keywords

• Nonlinear fractional integrodifferential coupled system
• ψ-Hilfer fractional derivative
• Existence and stability