Existence, uniqueness and stability of mild solutions for fractional hybrid semilinear equations with boundary conditions

Key Points

• The central aim is to explore the existence, uniqueness, and stability of mild solutions for hybrid fractional semilinear evolution equations.
• Applied the Dhage fixed point theorem to establish existence of mild solutions.
• Investigated boundary conditions relevant to the equations studied.
• Proved four types of stability results for the mild solutions under consideration.
• Confirmed the existence of mild solutions for hybrid fractional equations.
• Validated four types of Mittag-Leffler-Ulam-Hyers stability results.
• Provided a practical example demonstrating the theoretical findings.