Said Abbas, Ravi P. Agarwal, Mouffak Benchohra
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 7, 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.
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Saïd Abbas Laboratoire de Mathématiques, Université de Saïda B.P. 138, 20000, Saïda, Algérie email: abbas_said_dz@yahoo.fr |
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Ravi P. Agarwal Department of Mathematical Sciences Florida Institute of Technology Melboune, Florida, 32901-6975, USA email: agarwal@fit.edu |
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Mouffak Benchohra Laboratoire de Mathématiques, Université de Sidi Bel-Abbès B.P. 89, 22000, Sidi Bel-Abbès, Algérie email: benchohra@univ-sba.dz |
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