On the convergence of successive approximations for a fractional differential equation in Banach spaces

DOI10.4171/ZAA/1513zbMath1301.34008OpenAlexW2006173165WikidataQ115211754 ScholiaQ115211754MaRDI QIDQ399441

Aldona Dutkiewicz

Publication date: 19 August 2014

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1513

zbMATH Keywords

Banach spacesinitial value problemmeasures of noncompactnessfractional differential equationssuccessive approximationsCaputo's derivative

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Cites Work

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• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• The existance of nontrival solutions of Volterra equations.
• On Volterra integral equations with weakly singular kernels in Banach spaces

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