- Department of Fractional Calculus (FC)
- Department of Mixed Type Equations (MTE)
- Department of Neuroinformatics and Machine Learning (NML)
- Department of Theoretical and Mathematical Physics (TMPh)
- Department of Mathematical Modeling of Geophysical Processes (MMGP)
- Department of Computational Methods (CM)
- Laboratory of Synergistic Problems (LSP)
- Laboratory of Measurement Automation (LMA)