The results of analyzing the boundedness of the solutions of nonlinear systems with conformable fractional derivative of the state vector are discussed. The solutions are estimated and their boundedness conditions are established using the method of integral inequalities. Systems subject to constant perturbations are considered as an example.
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Translated from Prikladnaya Mekhanika, Vol. 56, No. 5, pp. 56–64, September–October 2020.
This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).
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Martynyuk, A.A., Martynyuk-Chernienko, Y.A. Boundedness of Solutions of Conformable Fractional Equations of Perturbed Motion*. Int Appl Mech 56, 572–580 (2020). https://doi.org/10.1007/s10778-020-01035-5
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DOI: https://doi.org/10.1007/s10778-020-01035-5