Existence and uniqueness results for Cauchy problem of variable-order fractional differential equations

DOI10.1007/s12190-013-0664-2zbMath1296.34041OpenAlexW2066105773MaRDI QIDQ2511396

Yufeng Xu, Zhi Min He

Publication date: 5 August 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-013-0664-2

zbMATH Keywords

contraction mapping principleCauchy problemfractional calculusexistence and uniquenessfunctional analysisvariable-order fractional differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

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