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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2018 Volume 23, Issue 124, Pages 738–744 (Mi vtamu18)

Approximation of hyperbolic differential inclusions of fractional order with impulses

V. V. Skomorokhov

Tambov State Technical University

Abstract: In this paper there are considered hyperbolic differential inclusions of fractional order with impulses. Here we represent the concept of approximate solution ($\delta$-solution) for a hyperbolic differential inclusion of fractional order with impulses. The asymptotic properties of solutions sets to approximating differential inclusions of fractional order with external disturbance are derived.

Keywords: hyperbolic differential inclusions, fractional derivative, impulses, approximating map, radius of external perturbations, modulus of continuity, $\delta$-solution.

UDC: 517.911.5

Received: 18.04.2018

DOI: 10.20310/1810-0198-2018-23-124-738-744



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© Steklov Math. Inst. of RAS, 2026