Initial value problems for fractional functional differential inclusions with Hadamard type derivative
Archivum mathematicum, Tome 52 (2016) no. 4, pp. 263-273
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We establish sufficient conditions for the existence of solutions of a class of fractional functional differential inclusions involving the Hadamard fractional derivative with order $\alpha \in (0,1]$. Both cases of convex and nonconvex valued right hand side are considered.
DOI :
10.5817/AM2016-4-263
Classification :
26A33, 34A60
Keywords: fractional differential inclusion; Hadamard-type fractional derivative; fractional integral; fixed point; convex
Keywords: fractional differential inclusion; Hadamard-type fractional derivative; fractional integral; fixed point; convex
@article{10_5817_AM2016_4_263,
author = {Guerraiche, Nassim and Hamani, Samira and Henderson, Johnny},
title = {Initial value problems for fractional functional differential inclusions with {Hadamard} type derivative},
journal = {Archivum mathematicum},
pages = {263--273},
publisher = {mathdoc},
volume = {52},
number = {4},
year = {2016},
doi = {10.5817/AM2016-4-263},
mrnumber = {3610653},
zbl = {06674903},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2016-4-263/}
}
TY - JOUR AU - Guerraiche, Nassim AU - Hamani, Samira AU - Henderson, Johnny TI - Initial value problems for fractional functional differential inclusions with Hadamard type derivative JO - Archivum mathematicum PY - 2016 SP - 263 EP - 273 VL - 52 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2016-4-263/ DO - 10.5817/AM2016-4-263 LA - en ID - 10_5817_AM2016_4_263 ER -
%0 Journal Article %A Guerraiche, Nassim %A Hamani, Samira %A Henderson, Johnny %T Initial value problems for fractional functional differential inclusions with Hadamard type derivative %J Archivum mathematicum %D 2016 %P 263-273 %V 52 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2016-4-263/ %R 10.5817/AM2016-4-263 %G en %F 10_5817_AM2016_4_263
Guerraiche, Nassim; Hamani, Samira; Henderson, Johnny. Initial value problems for fractional functional differential inclusions with Hadamard type derivative. Archivum mathematicum, Tome 52 (2016) no. 4, pp. 263-273. doi: 10.5817/AM2016-4-263
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