Integral estimates of the solutions of fractional-like equations of perturbed motion | Zendy

A. À. Martynyuk | Zendy; Gani Stamov | Zendy; Ivanka Stamova | Zendy

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Integral estimates of the solutions of fractional-like equations of perturbed motion

Author(s) -

A. À. Martynyuk,

Gani Stamov,

Ivanka Stamova

Publication year - 2018

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2019.1.8

Subject(s) - mathematics , scalar (mathematics) , nonlinear system , fractional calculus , mathematical analysis , integral equation , stability (learning theory) , physics , computer science , geometry , quantum mechanics , machine learning

In this paper, the results of the analysis of nonlinear systems with fractional-like derivatives of the state vector are presented. Using the method of integral inequalities, some estimates of the solutions are obtained, and criteria for Heyers–Ulam–Rassias stability of a fractional-like scalar equation are established.

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