This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1146,
author = {Sotiris K. Ntouyas},
title = {Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {33},
year = {2013},
pages = {17-39},
zbl = {1307.34016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1146}
}
Sotiris K. Ntouyas. Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 33 (2013) pp. 17-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1146/
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