Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:WileyJournal:Discrete Dynamics in Nature and Society, volume 2,012 (issn: 1026-0226, eissn: 1607-887X,

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Authors: Wen-Xue Zhou; Ying-Xiang Chang; Hai-Zhong Liu;

doi: 10.1155/2012/527969

Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces

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Abstract

We discuss the existence of weak solutions for a nonlinear boundary value problem of fractional differential equations in Banach space. Our analysis relies on the Mönch′s fixed point theorem combined with the technique of measures of weak noncompactness.

Related Organizations

Lanzhou Jiaotong University
China (People's Republic of)
Xi’an Jiaotong-Liverpool University
China (People's Republic of)

Keywords

Fixed-point theorems, Nonlinear boundary value problems for ordinary differential equations, QA1-939, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces, Mathematics

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