Geodesic
Impulsive discontinuous hyperbolic partial differential equations of fractional order on Banach algebras
Electronic journal of differential equations, Tome 2010 (2010)
This article studies the existence of solutions and extremal solutions to partial hyperbolic differential equations of fractional order with impulses in Banach algebras under Lipschitz and Caratheodory conditions and certain monotonicity conditions.
Classification : 26A33
Keywords: impulsive differential equations, fractional order, upper solution, lower solution, extremal solutions, left-sided mixed Riemann-Liouville integral, Caputo fractional-order derivative, fixed point, Banach algebra 
@article{EJDE_2010__2010__a31,
     author = {Abbas,  Said and Agarwal,  Ravi P. and Benchohra,  Mouffak},
     title = {Impulsive discontinuous hyperbolic partial differential equations of fractional order on {Banach} algebras},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1195.26005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a31/}
}
TY  - JOUR
AU  - Abbas,  Said
AU  - Agarwal,  Ravi P.
AU  - Benchohra,  Mouffak
TI  - Impulsive discontinuous hyperbolic partial differential equations of fractional order on Banach algebras
JO  - Electronic journal of differential equations
PY  - 2010
VL  - 2010
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a31/
LA  - en
ID  - EJDE_2010__2010__a31
ER  - 
%0 Journal Article
%A Abbas,  Said
%A Agarwal,  Ravi P.
%A Benchohra,  Mouffak
%T Impulsive discontinuous hyperbolic partial differential equations of fractional order on Banach algebras
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a31/
%G en
%F EJDE_2010__2010__a31
Abbas,  Said; Agarwal,  Ravi P.; Benchohra,  Mouffak. Impulsive discontinuous hyperbolic partial differential equations of fractional order on Banach algebras. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a31/