On eventual uniform stability of Caputo fractional hybrid systems with application to library and information systems

Abstract

This work presents a novel eventual stability approach for Caputo fractional dynamic equations on time scales, extending existing eventual stability theory for continuous domain to hybrid domain (continuous and discrete time). This novel framework is then applied to ascertain the long term uniform stability of a complex Library and information system, providing both theoretical insights and actionable recommendations for the management and coordination of library consortia.