Said Abbas, Mouffak Benchohra
In this article we use the upper and lower solution method combined with a fixed point theorem for condensing multivalued maps, due to Martelli, to study the existence of solutions to impulsive partial hyperbolic differential inclusions at fixed instants of impulse.
Submitted February 3, 2014. Published September 18, 2014.
Math Subject Classifications: 26A33, 34A60.
Key Words: Impulsive hyperbolic differential inclusions; fractional order; upper solution; lower solution; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; fixed point.
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| Saïd Abbas |
Laboratory of Mathematics, University of Saïda
PO Box 138, 20000 Saïda, Algeria
| Mouffak Benchohra |
Laboratory of Mathematics, University of Sidi Bel-Abbès, PO Box 89, 22000, Sidi Bel-Abbès, Algeria
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