Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the non-local conditions

DOI10.1186/1687-1847-2011-18zbMath1268.34029OpenAlexW2147839100WikidataQ59269846 ScholiaQ59269846MaRDI QIDQ1951025

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Publication date: 28 May 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-18

zbMATH Keywords

Cauchy problemmild solutionsfractional derivativecosine familyneutral second-order abstract problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (3)

A study on non-autonomous second order evolution equations with nonlocal conditions ⋮ Nonlocal Cauchy problem for delay fractional integrodifferential equations of neutral type ⋮ Mild solutions of non-autonomous second order problems with nonlocal initial conditions

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