| 2023 | IDDM | Genome Compression Using Program Synthesis. | Denys Maletskyi, Volodymyr Shymanskyi |
| 2021 | IDDM | Modeling of Heat Transfer and Deformation Processes in Biomaterials with Fractal Structure. | Volodymyr Shymanskyi, Yaroslav Sokolovskyy, Olha Mokrytska, Iryna Boretska, Oleksiy Sinkevych, Volodymyr Kryshtapovych |
| 2020 | CSIT | Variational Formulation of Viscoelastic Deformation Problem in Capillary-Porous Materials with Fractal Structure. | Volodymyr Shymanskyi, Yaroslav Sokolovskyy |
| 2020 | CSIT | Variational Formulation Of The Stress-Strain Problem In Capillary-Porous Materials With Fractal Structure. | Volodymyr Shymanskyi, Yaroslav Sokolovskyy |
| 2020 | IDDM | Variational Formulation of Viscoelastic Problem in Biomaterials with Fractal Structure. | Volodymyr Shymanskyi, Yaroslav Sokolovskyy |
| 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 |
| 2018 | CSIT | Simulation of the Heat Conduction Process in the Claydite-Block Construction with Taking into Account the Fractal Structure of the Material. | Volodymyr Shymanskyi, Yuriy Protsyk |
| 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 |