Open AccessImpulsive partial hyperbolic differential inclusions of fractional order
Author(s) -
Saı̈d Abbas,
Mouffak Benchohra
Publication year - 2010
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0280
Subject(s) - mathematics , hyperbolic partial differential equation , differential inclusion , partial derivative , order (exchange) , class (philosophy) , partial differential equation , fractional calculus , mathematical analysis , pure mathematics , computer science , finance , artificial intelligence , economics
In this paper we investigate the existence of solutions of a class of partial impulsive hyperbolic differential inclusions involving the Caputo fractional derivative. Our main tools are appropriate fixed point theorems from multivalued analysis.