We propose a constant proportional-Caputo (CPC) operator for modeling childhood disease epidemics by treating …-Caputo (PC) and constant proportional-Caputo operators to evaluate the fractional integral operator. We also used our suggested … model's fractional differential equations to derive the eigenfunctions of the CPC operator. Modern mathematical control with …

production facilities, a regulated network utility, and the operator of the net-zero system. Existing market-based electricity …

-sectoral coordination of interconnected multi-operator energy systems. The technology-independent framework is applicable to various multi … results to a single-operator framework are obtained, highlighting the framework's potential to offer market-driven incentives …

). The PIGNO utilizes a graph neural operator to generate population dynamics, given initial population distributions. To … better train the neural operator, it leverages physics knowledge to propagate population state transitions on graphs. A …