Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 91, pp. 1-17.

Title: Impulsive discontinuous hyperbolic partial differential 
       equations of fractional order on Banach algebras

Authors: Said Abbas  (Univ. de Saida, Algerie)
         Ravi P. Agarwal (Florida Institute of Tech., Melboune, USA)
	 Mouffak Benchohra (Univ. de Sidi Bel-Abbes, Algerie)

Abstract:
 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. 
 
Submitted May 6, 2010. Published July 07, 2010.
Math Subject Classifications: 26A33.
Key Words: 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.