A Study on Ulam Hyers Stability of Differential Equations and its Applications

Abstract

This thesis mainly focuses on the stability analysis of di erential equations and newline mathematical models, covering various aspects: newline (i) The Ulam-Hyers stability of linear di erential equations involving three di erent newline types of transforms, applied to an electrical circuit system. newline (ii) The Ulam-Hyers stability of Ebola virus outbreak model and tuberculosis and newline COVID-19 co-infection model with a fractional and fractal-fractional order newline derivatives based on the Atangana-Baleanu in the Caputo sense. To nd both newline the existence and uniqueness analysis using xed-point techniques and employing newline the two di erent types of numerical schemes. newline Here, we highlight the chapter-wise main objective as follows: newline circuit represented by the Thevenin equivalent system newline