Geodesic
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 
@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. http://geodesic.mathdoc.fr/articles/10.5817/AM2016-4-263/

Cité par Sources :