Samira Hamani, Mouffak Benchohra, John R. Graef
Abstract:
In this article, the authors establish sufficient conditions
for the existence of solutions for a class of boundary value
problem for fractional differential inclusions involving the
Caputo fractional derivative and nonlinear integral conditions.
Both cases of convex and nonconvex valued right hand sides are
considered. The topological structure of the set of solutions
also examined.
Submitted September 8, 2009. Published January 28, 2010.
Math Subject Classifications: 26A33, 34A60, 34B15.
Key Words: Boundary-value problem; differential inclusion;
fractional integral; Caputo fractional derivative;
existence; uniqueness; fixed point; integral conditions.
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Samira Hamani Laboratoire de Mathématiques Université de Sidi Bel Abbès BP 89, 2000 Sidi Bel Abbès, Algérie email: hamani_samira@yahoo.fr |
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Mouffak Benchohra Laboratoire de Mathématiques Université de Sidi Bel Abbès BP 89, 2000 Sidi Bel Abbès, Algérie email: benchohra@univ-sba.dz |
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John R. Graef Department of Mathematics University of Tennessee at Chattanooga Chattanooga, TN 37403-2504, USA email: John-Graef@utc.edu |
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