Abstract
We establish some Filippov type existence theorems for solutions of certain nonconvex fractional hyperbolic differential inclusions involving Caputo's fractional derivative.
Citation
Aurelian Cernea . "On the existence of solutions for nonconvex hyperbolic differential inclusions." Commun. Math. Anal. 9 (1) 109 - 120, 2010.
Information
Published: 2010
First available in Project Euclid: 21 April 2010
zbMATH: 1193.35003
MathSciNet: MR2640309
Subjects:
Primary:
34A60
,
35B30
Secondary:
26A42
Keywords:
decomposable set
,
fractional derivative
,
Hyperbolic differential inclusion
Rights: Copyright © 2010 Mathematical Research Publishers