Research Focus

Fractional calculus and its applications

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Based on the fractional calculus theory, numerical calculation theory and machine learning, fractional calculus team established mathematical models of complex media, developed new numerical algorithms and theories based on fractional operators, and applied them to fluid mechanics, quantum mechanics, etc. In recent years, the team has systematically established the theoretical framework of fractional calculus and studied the mechanical mechanism of anomalous  phenomena in mass transport, energy diffusion and momentum transfer. A series of innovative achievements have been made in the field of complex medium fractional equation modeling, analytical and numerical calculation, parameter identification and so on. The achievement was awarded one second prize of natural science of Shandong Province.