Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative

Ait Dads, E., Benchohra, M., and Hamani, S.. "Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative." Fractional Calculus and Applied Analysis 12.1 (2009): 15-38. <http://eudml.org/doc/11313>.

@article{AitDads2009,
abstract = {Mathematics Subject Classification: 26A33, 34A37.In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. Both cases of convex and nonconvex valued right-hand side are considered. The topological structure of the set of solutions is also considered.},
author = {Ait Dads, E., Benchohra, M., Hamani, S.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {26A33; 34A37},
language = {eng},
number = {1},
pages = {15-38},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative},
url = {http://eudml.org/doc/11313},
volume = {12},
year = {2009},
}

TY - JOUR
AU - Ait Dads, E.
AU - Benchohra, M.
AU - Hamani, S.
TI - Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative
JO - Fractional Calculus and Applied Analysis
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 12
IS - 1
SP - 15
EP - 38
AB - Mathematics Subject Classification: 26A33, 34A37.In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. Both cases of convex and nonconvex valued right-hand side are considered. The topological structure of the set of solutions is also considered.
LA - eng
KW - 26A33; 34A37
UR - http://eudml.org/doc/11313
ER -