Representation of solutions of linear inhomogeneous Caputo fractional differential equation with continuous variable coefficient by Green function

DOI10.7153/FDC-2017-07-17zbMath1438.34049OpenAlexW2783662662WikidataQ115157799 ScholiaQ115157799MaRDI QIDQ4626402

Kinam Sin, Hui-chol Choi, SunAe Pak

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2017-07-17

zbMATH Keywords

Green functionCaputo fractional differential equationslinear inhomogeneous equationscontinuous variable coefficients

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

Related Items (3)

On linear fractional differential equations with variable coefficients ⋮ The fractional Green's function by Babenko's approach ⋮ Remarks on the linear fractional integro-differential equation with variable coefficients in distribution

Cites Work

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• On fractional Duhamel's principle and its applications
• A generalization of Duhamel's principle for differential equations of fractional order
• On systems of linear fractional differential equations with constant coefficients
• \(\alpha\)-analytic solutions of some linear fractional differential equations with variable coefficients
• Analytical solution of the linear fractional differential equation by Adomian decomposition method

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