Fractional-like Hukuhara derivative and its properties

Authors

  • A.A. Martynyuk S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2019.04.010

Keywords:

fraction-like Hukuhara derivative, set-valued of fractional-like differential equations, the principle of comparison

Abstract

The concept of fractional-like Hukuhara derivative for set-valued maps is introduced, its properties are discussed, and the principle of comparison is established for fractional-like set-valued differential equations.

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References

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Martynyuk, A. А. (2018).On stability analysis of fractional-like systems of perturbed motion. Dopov. Nac. akad. nauk Ukr., No. 6, pp. 9-16 (in Russian). doi: https://doi.org/10.15407/dopovidi2018.06.009

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Martynyuk, A. A., Stamov, G. & Stamova, I. M. (2019). Integral estimates of the solutions of fractional-like equations of perturbed motion. Nonlinear Analysis: Modelling and Control, 24, No. 1, pp. 138-149. doi: https://doi.org/10.15388/NA.2019.1.8

Published

21.04.2024

How to Cite

Martynyuk, A. (2024). Fractional-like Hukuhara derivative and its properties . Reports of the National Academy of Sciences of Ukraine, (4), 10–16. https://doi.org/10.15407/dopovidi2019.04.010

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