Stability analysis for fractional order implicit ψ-Hilfer differential equations

The present research endeavor contains formulation of a new psi-Hilfer differential equation equipped with integral-type subsidiary conditions. Utilizing Picard operator method, Banach contraction principle, and Gronwall inequality, we explore solution's properties of the underlying problem. We provide some assumptions to set up results related to uniqueness of solution for the underlying model. Furthermore, stability analysis is studied in the sense of Ulam Hyers Mittag Leffler's definition. We furnish illustrative examples for the vindication of our obtained analytical results.

Automated summary

The research involves formulating a new psi-Hilfer differential equation with integral-type subsidiary conditions and exploring properties of the solution using various mathematical methods. Assumptions are provided to establish results related to uniqueness of solution for the model, and stability analysis is conducted based on Ulam Hyers Mittag Leffler's definition. Illustrative examples are presented to validate the analytical results obtained.