Continuous dependence and h-Mittag-Leffler-Ulam’s type stability for semilinear fractional integro-differential equations in fractional power spaces

Key Points

• The analysis shows the stability conditions for semilinear fractional integro-differential equations are met under certain continuity requirements.
• Key findings suggest that for specific initial conditions, the solutions remain stable over time as indicated by the h-Mittag-Leffler behavior.
• Using fractional calculus, the study highlights how semilinear integro-differential equations can behave in fractional power spaces effectively.
• Findings imply potential applications in complex systems modeled by fractional integro-differential equations, emphasizing their real-world relevance.