Open AccessExistence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition
Author(s) -
John R. Graef,
Lingju Kong,
Qingkai Kong,
Min Wang
Publication year - 2013
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2013.1.55
Subject(s) - mathematics , uniqueness , boundary value problem , dirichlet boundary condition , dirichlet distribution , mathematical analysis , value (mathematics) , statistics
The authors consider a nonlinear fractional boundary value prob- lem with the Dirichlet boundary condition. An associated Green's function is constructed as a series of functions by applying spectral theory. Criteria for the existence and uniqueness of solutions are obtained based on it.
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