Cauchy formula for the time-varying linear systems with Caputo derivative

DOI10.1515/fca-2017-0025zbMath1367.34008OpenAlexW2621340407MaRDI QIDQ2396336

Dariusz Idczak, Tadeusz Kaczorek

Publication date: 8 June 2017

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

Full work available at URL: https://doi.org/10.1515/fca-2017-0025

zbMATH Keywords

solutionpositivityCaputo derivativefractional time-varying linear system

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Nonautonomous smooth dynamical systems (37C60) Fractional ordinary differential equations (34A08)

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Integral representation of solutions of fractional system with distributed delays, Solution of linear fractional order systems with variable coefficients, On representation formulas for solutions of linear differential equations with Caputo fractional derivatives, Solution of singular integral equations via Riemann-Liouville fractional integrals, Time-optimal control of linear fractional systems with variable coefficients

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