Stability Analysis of Spectral Technique for Three-Connected Fractional Stochastic Integro-Delay Differential Systems

Abstract

This research investigates the intricate stability analysis of a sophisticated system characterized by three interconnected fractional stochastic integro-delay differential equations (FSIDDEs). Employing the powerful spectral collocation method, we meticulously explore the stability properties of this interconnected system. Integrating fractional calculus, time delays, and stochastic elements, our study unfolds a nuanced mathematical approach to unravel the system’s dynamic behavior. This investigation is paramount for comprehending the system’s intricacies and ensuring its resilience across diverse scientific and engineering applications.