Dynamic Effect of Green Building Concept for Sustainable Cities under Climate Change via Variable-Order Fractional Derivatives

This study introduces an innovative fractional order model that delves into the core principles of sustainable constructions, incorporating Liouville-Caputo, Caputo-Fabrizio, and Atangana-Baleanu derivatives. It examines the increasing adoption of eco-friendly buildings in India as a crucial remedy against climate change. By revealing innovative perspectives on fractional solutions, encompassing their validity and distinctiveness, the research conducts computational analyses to evaluate the impacts of Greenhouse Gas (GHG) elements. Visual representations demonstrate the dynamics of the model, emphasizing the influences of various fractional order parameters across different scenarios.