Solution of linear fractional order systems with variable coefficients

DOI10.1515/fca-2020-0037zbMath1474.34047arXiv1905.10632OpenAlexW3043381856MaRDI QIDQ2209176

Viktoriia Onyshchenko, Ivan Matychyn

Publication date: 28 October 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10632

zbMATH Keywords

Riemann-Liouville fractional derivativefractional differential equationstate transition matrixgeneralized Peano-Baker series

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Mittag-Leffler functions and generalizations (33E12) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

Related Items (5)

Hilfer-type fractional differential equations with variable coefficients ⋮ Explicit solutions and asymptotic behaviors of Caputo discrete fractional-order equations with variable coefficients ⋮ Game-theoretical problems for fractional-order nonstationary systems ⋮ Time-optimal control of linear fractional systems with variable coefficients ⋮ Analysis of positive fractional-order neutral time-delay systems

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