| 2024 | IDDM | Research of Algorithms Based on Fractional Differential Derivatives for Improving Medical Images. | Yaroslav Sokolovskyy, Volodymyr Bereziuk, Maryana Levkovych, Mykhailo Paslavskyi |
| 2020 | CSIT | Parallel Realization of the Problem of Heat and Moisture Transfer in Fractal-structure Materials. | Yaroslav Sokolovskyy, Maryana Levkovych, Volodymyr Yarkun, Yuriy Protsyk, Andriy Nechepurenko |
| 2020 | IDDM | Mathematical Modeling of Rheological Behavior of Anisotropic Biomaterials with Taking Into Account Effects of Memory and Self-organization. | Yaroslav Sokolovskyy, Volodymyr Shymanskyi, Maryana Levkovych, Ivan Sokolovskyy, Jaime Campos |
| 2019 | IDDM | Mathematical Models and Analysis of Deformation Processes in Biomaterials with Fractal Structure. | Yaroslav Sokolovskyy, Maryana Levkovych, Olha Mokrytska, Svitlana Yatsyshyn, Yaroslav Kaspryshyn, Christine Strauss |
| 2018 | CSIT | Numerical Simulation and Analysis of Systems with Memory Based on Integro-Differentiation of Fractional Order. | Yaroslav Sokolovskyy, Maryana Levkovych, Olha Mokrytska, Yaroslav Kaplunskyy |
| 2018 | IDDM | Numerical Modeling and Analysis of Physical Properties in Biomaterials with Fractal Structure. | Ivan Sokolovskyy, Maryana Levkovych, Olha Mokrytska |
| 2018 | IDDM | Mathematical Models of Biophysical Processes Taking Into Account Memory Effects and Self-Similarity. | Yaroslav Sokolovskyy, Maryana Levkovych, Olha Mokrytska, Yaroslav Kaplunskyy |
| 2017 | CSIT | Mathematical and software providing of research of deformation and relaxation processes in environments with fractal structure. | Yaroslav Sokolowskyi, Volodymyr Shymanskyi, Maryana Levkovych, Volodymyr Yarkun |
| 2016 | CSIT | Mathematical modeling of non-isothermal moisture transfer and visco-elastic deformation in the materials with fractal structure. | Yaroslav Sokolovskyy, Volodymyr Shymanskyi, Maryana Levkovych |