Existence and uniqueness of solutions to impulsive fractional differential equations
Electronic journal of differential equations, Tome 2009 (2009)
In this article, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative.
Classification :
26A33, 34A37
Keywords: fractional derivative, impulses, initial value problem, Caputo fractional integral, nonlocal conditions, existence, uniqueness, fixed point
Keywords: fractional derivative, impulses, initial value problem, Caputo fractional integral, nonlocal conditions, existence, uniqueness, fixed point
@article{EJDE_2009__2009__a1,
author = {Benchohra, Mouffak and Slimani, Boualem Attou},
title = {Existence and uniqueness of solutions to impulsive fractional differential equations},
journal = {Electronic journal of differential equations},
year = {2009},
volume = {2009},
zbl = {1178.34004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a1/}
}
TY - JOUR AU - Benchohra, Mouffak AU - Slimani, Boualem Attou TI - Existence and uniqueness of solutions to impulsive fractional differential equations JO - Electronic journal of differential equations PY - 2009 VL - 2009 UR - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a1/ LA - en ID - EJDE_2009__2009__a1 ER -
%0 Journal Article %A Benchohra, Mouffak %A Slimani, Boualem Attou %T Existence and uniqueness of solutions to impulsive fractional differential equations %J Electronic journal of differential equations %D 2009 %V 2009 %U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a1/ %G en %F EJDE_2009__2009__a1
Benchohra, Mouffak; Slimani, Boualem Attou. Existence and uniqueness of solutions to impulsive fractional differential equations. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a1/