The concept of continuous-time random walks (CTRW) is a generalization of ordinary random walkmodels, and it is a powerful tool for investigating a broad spectrum of phenomena in natural, engineering,social, and economic sciences. Recently, several theoretical approaches have been developedthat allowed to analyze explicitly dynamics of CTRW at all times, which is critically important forunderstanding mechanisms of underlying phenomena. However, theoretical analysis has been donemostly for systems with a simple geometry. Here we extend the original method based on generalizedmaster equations to analyze all-time dynamics of CTRWmodels on complex networks. Specificcalculations are performed for models on lattices with branches and for models on coupled parallelchainlattices. Exact expressions for velocities and dispersions are obtained. Generalized fluctuationstheorems for CTRW models on complex networks are discussed.
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