On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces

DOI10.1186/s13663-017-0621-0zbMath1387.34027OpenAlexW2768338671WikidataQ59482559 ScholiaQ59482559MaRDI QIDQ680762

Mikhail Kamenskii, Garik Petrosyan, Valerii V. Obukhovskij, Jen-Chih Yao

Publication date: 29 January 2018

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-017-0621-0

zbMATH Keywords

fixed pointCauchy problemapproximationmeasure of noncompactnesssemidiscretizationfractional differential equationcondensing mapsemilinear differential equationindex of the solution set

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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